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Finding the Third Proportional to 60,432 and 90,702

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Solution

The third proportional to 60,432 and 90,702 is: 136,134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,432 : 90,702 = 90,702 : x
  2. Step 2: Convert to fraction form
    60,432/90,702 = 90,702/x
  3. Step 3: Cross multiply
    60,432x = 90,702 × 90,702
  4. Step 4: Simplify right side
    60,432x = 8,226,852,804
  5. Step 5: Solve for x
    x = 8,226,852,804/60,432
  6. Step 6: Final answer
    x = 136,134.05

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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.