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Finding the Third Proportional to 61,663.50 and 133,146

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Solution

The third proportional to 61,663.50 and 133,146 is: 287,493.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,663.50 : 133,146 = 133,146 : x
  2. Step 2: Convert to fraction form
    61,663.50/133,146 = 133,146/x
  3. Step 3: Cross multiply
    61,663.50x = 133,146 × 133,146
  4. Step 4: Simplify right side
    61,663.50x = 17,727,857,316
  5. Step 5: Solve for x
    x = 17,727,857,316/61,663.50
  6. Step 6: Final answer
    x = 287,493.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.