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Finding the Third Proportional to 58,937 and 128,134

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Solution

The third proportional to 58,937 and 128,134 is: 278,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,937 : 128,134 = 128,134 : x
  2. Step 2: Convert to fraction form
    58,937/128,134 = 128,134/x
  3. Step 3: Cross multiply
    58,937x = 128,134 × 128,134
  4. Step 4: Simplify right side
    58,937x = 16,418,321,956
  5. Step 5: Solve for x
    x = 16,418,321,956/58,937
  6. Step 6: Final answer
    x = 278,574.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.