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Finding the Third Proportional to 58,097.25 and 127,251

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Solution

The third proportional to 58,097.25 and 127,251 is: 278,719.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,097.25 : 127,251 = 127,251 : x
  2. Step 2: Convert to fraction form
    58,097.25/127,251 = 127,251/x
  3. Step 3: Cross multiply
    58,097.25x = 127,251 × 127,251
  4. Step 4: Simplify right side
    58,097.25x = 16,192,817,001
  5. Step 5: Solve for x
    x = 16,192,817,001/58,097.25
  6. Step 6: Final answer
    x = 278,719.16

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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.