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Finding the Third Proportional to 62,587 and 94,412.50

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Solution

The third proportional to 62,587 and 94,412.50 is: 142,421.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,587 : 94,412.50 = 94,412.50 : x
  2. Step 2: Convert to fraction form
    62,587/94,412.50 = 94,412.50/x
  3. Step 3: Cross multiply
    62,587x = 94,412.50 × 94,412.50
  4. Step 4: Simplify right side
    62,587x = 8,913,720,156.25
  5. Step 5: Solve for x
    x = 8,913,720,156.25/62,587
  6. Step 6: Final answer
    x = 142,421.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.