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Finding the Third Proportional to 66,280 and 96,292

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Solution

The third proportional to 66,280 and 96,292 is: 139,893.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,280 : 96,292 = 96,292 : x
  2. Step 2: Convert to fraction form
    66,280/96,292 = 96,292/x
  3. Step 3: Cross multiply
    66,280x = 96,292 × 96,292
  4. Step 4: Simplify right side
    66,280x = 9,272,149,264
  5. Step 5: Solve for x
    x = 9,272,149,264/66,280
  6. Step 6: Final answer
    x = 139,893.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.