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Finding the Third Proportional to 58,410.25 and 127,877

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Solution

The third proportional to 58,410.25 and 127,877 is: 279,959.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,410.25 : 127,877 = 127,877 : x
  2. Step 2: Convert to fraction form
    58,410.25/127,877 = 127,877/x
  3. Step 3: Cross multiply
    58,410.25x = 127,877 × 127,877
  4. Step 4: Simplify right side
    58,410.25x = 16,352,527,129
  5. Step 5: Solve for x
    x = 16,352,527,129/58,410.25
  6. Step 6: Final answer
    x = 279,959.89

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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.