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Finding the Third Proportional to 55,981.13 and 118,279.13

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Solution

The third proportional to 55,981.13 and 118,279.13 is: 249,904.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,981.13 : 118,279.13 = 118,279.13 : x
  2. Step 2: Convert to fraction form
    55,981.13/118,279.13 = 118,279.13/x
  3. Step 3: Cross multiply
    55,981.13x = 118,279.13 × 118,279.13
  4. Step 4: Simplify right side
    55,981.13x = 13,989,951,410.77
  5. Step 5: Solve for x
    x = 13,989,951,410.77/55,981.13
  6. Step 6: Final answer
    x = 249,904.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.