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Finding the Third Proportional to 61,422.75 and 133,962.75

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Solution

The third proportional to 61,422.75 and 133,962.75 is: 292,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,422.75 : 133,962.75 = 133,962.75 : x
  2. Step 2: Convert to fraction form
    61,422.75/133,962.75 = 133,962.75/x
  3. Step 3: Cross multiply
    61,422.75x = 133,962.75 × 133,962.75
  4. Step 4: Simplify right side
    61,422.75x = 17,946,018,387.56
  5. Step 5: Solve for x
    x = 17,946,018,387.56/61,422.75
  6. Step 6: Final answer
    x = 292,172.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.