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Finding the Third Proportional to 82,532 and 127,584

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Solution

The third proportional to 82,532 and 127,584 is: 197,228.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,532 : 127,584 = 127,584 : x
  2. Step 2: Convert to fraction form
    82,532/127,584 = 127,584/x
  3. Step 3: Cross multiply
    82,532x = 127,584 × 127,584
  4. Step 4: Simplify right side
    82,532x = 16,277,677,056
  5. Step 5: Solve for x
    x = 16,277,677,056/82,532
  6. Step 6: Final answer
    x = 197,228.68

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.