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Finding the Third Proportional to 131,725.50 and 195,302.25

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Solution

The third proportional to 131,725.50 and 195,302.25 is: 289,564.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,725.50 : 195,302.25 = 195,302.25 : x
  2. Step 2: Convert to fraction form
    131,725.50/195,302.25 = 195,302.25/x
  3. Step 3: Cross multiply
    131,725.50x = 195,302.25 × 195,302.25
  4. Step 4: Simplify right side
    131,725.50x = 38,142,968,855.06
  5. Step 5: Solve for x
    x = 38,142,968,855.06/131,725.50
  6. Step 6: Final answer
    x = 289,564.05

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.