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Finding the Third Proportional to 96,432 and 146,008

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Solution

The third proportional to 96,432 and 146,008 is: 221,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,432 : 146,008 = 146,008 : x
  2. Step 2: Convert to fraction form
    96,432/146,008 = 146,008/x
  3. Step 3: Cross multiply
    96,432x = 146,008 × 146,008
  4. Step 4: Simplify right side
    96,432x = 21,318,336,064
  5. Step 5: Solve for x
    x = 21,318,336,064/96,432
  6. Step 6: Final answer
    x = 221,071.18

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Why These Related Problems?

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