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Finding the Third Proportional to 32,098 and 66,240

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Solution

The third proportional to 32,098 and 66,240 is: 136,698.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,098 : 66,240 = 66,240 : x
  2. Step 2: Convert to fraction form
    32,098/66,240 = 66,240/x
  3. Step 3: Cross multiply
    32,098x = 66,240 × 66,240
  4. Step 4: Simplify right side
    32,098x = 4,387,737,600
  5. Step 5: Solve for x
    x = 4,387,737,600/32,098
  6. Step 6: Final answer
    x = 136,698.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.