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Finding the Third Proportional to 58,448 and 127,584

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Solution

The third proportional to 58,448 and 127,584 is: 278,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,448 : 127,584 = 127,584 : x
  2. Step 2: Convert to fraction form
    58,448/127,584 = 127,584/x
  3. Step 3: Cross multiply
    58,448x = 127,584 × 127,584
  4. Step 4: Simplify right side
    58,448x = 16,277,677,056
  5. Step 5: Solve for x
    x = 16,277,677,056/58,448
  6. Step 6: Final answer
    x = 278,498.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.