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Finding the Third Proportional to 131,396 and 272,139

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Solution

The third proportional to 131,396 and 272,139 is: 563,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,396 : 272,139 = 272,139 : x
  2. Step 2: Convert to fraction form
    131,396/272,139 = 272,139/x
  3. Step 3: Cross multiply
    131,396x = 272,139 × 272,139
  4. Step 4: Simplify right side
    131,396x = 74,059,635,321
  5. Step 5: Solve for x
    x = 74,059,635,321/131,396
  6. Step 6: Final answer
    x = 563,636.91

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.