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Finding the Third Proportional to 114,961.50 and 171,734.25

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Solution

The third proportional to 114,961.50 and 171,734.25 is: 256,543.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,961.50 : 171,734.25 = 171,734.25 : x
  2. Step 2: Convert to fraction form
    114,961.50/171,734.25 = 171,734.25/x
  3. Step 3: Cross multiply
    114,961.50x = 171,734.25 × 171,734.25
  4. Step 4: Simplify right side
    114,961.50x = 29,492,652,623.06
  5. Step 5: Solve for x
    x = 29,492,652,623.06/114,961.50
  6. Step 6: Final answer
    x = 256,543.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.