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Finding the Third Proportional to 67,725 and 101,587.50

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Solution

The third proportional to 67,725 and 101,587.50 is: 152,381.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,725 : 101,587.50 = 101,587.50 : x
  2. Step 2: Convert to fraction form
    67,725/101,587.50 = 101,587.50/x
  3. Step 3: Cross multiply
    67,725x = 101,587.50 × 101,587.50
  4. Step 4: Simplify right side
    67,725x = 10,320,020,156.25
  5. Step 5: Solve for x
    x = 10,320,020,156.25/67,725
  6. Step 6: Final answer
    x = 152,381.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.