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Finding the Third Proportional to 87,556 and 127,507

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Solution

The third proportional to 87,556 and 127,507 is: 185,687.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,556 : 127,507 = 127,507 : x
  2. Step 2: Convert to fraction form
    87,556/127,507 = 127,507/x
  3. Step 3: Cross multiply
    87,556x = 127,507 × 127,507
  4. Step 4: Simplify right side
    87,556x = 16,258,035,049
  5. Step 5: Solve for x
    x = 16,258,035,049/87,556
  6. Step 6: Final answer
    x = 185,687.27

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.