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Finding the Third Proportional to 61,044 and 133,572

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Solution

The third proportional to 61,044 and 133,572 is: 292,272.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,044 : 133,572 = 133,572 : x
  2. Step 2: Convert to fraction form
    61,044/133,572 = 133,572/x
  3. Step 3: Cross multiply
    61,044x = 133,572 × 133,572
  4. Step 4: Simplify right side
    61,044x = 17,841,479,184
  5. Step 5: Solve for x
    x = 17,841,479,184/61,044
  6. Step 6: Final answer
    x = 292,272.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.