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Finding the Third Proportional to 61,166 and 94,532

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Solution

The third proportional to 61,166 and 94,532 is: 146,099.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,166 : 94,532 = 94,532 : x
  2. Step 2: Convert to fraction form
    61,166/94,532 = 94,532/x
  3. Step 3: Cross multiply
    61,166x = 94,532 × 94,532
  4. Step 4: Simplify right side
    61,166x = 8,936,299,024
  5. Step 5: Solve for x
    x = 8,936,299,024/61,166
  6. Step 6: Final answer
    x = 146,099.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.