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Finding the Third Proportional to 42,687 and 69,799.50

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Solution

The third proportional to 42,687 and 69,799.50 is: 114,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,687 : 69,799.50 = 69,799.50 : x
  2. Step 2: Convert to fraction form
    42,687/69,799.50 = 69,799.50/x
  3. Step 3: Cross multiply
    42,687x = 69,799.50 × 69,799.50
  4. Step 4: Simplify right side
    42,687x = 4,871,970,200.25
  5. Step 5: Solve for x
    x = 4,871,970,200.25/42,687
  6. Step 6: Final answer
    x = 114,132.41

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.