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Finding the Third Proportional to 66,432 and 98,702

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Solution

The third proportional to 66,432 and 98,702 is: 146,647.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,432 : 98,702 = 98,702 : x
  2. Step 2: Convert to fraction form
    66,432/98,702 = 98,702/x
  3. Step 3: Cross multiply
    66,432x = 98,702 × 98,702
  4. Step 4: Simplify right side
    66,432x = 9,742,084,804
  5. Step 5: Solve for x
    x = 9,742,084,804/66,432
  6. Step 6: Final answer
    x = 146,647.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.