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Finding the Third Proportional to 87,548 and 127,492

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Solution

The third proportional to 87,548 and 127,492 is: 185,660.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,548 : 127,492 = 127,492 : x
  2. Step 2: Convert to fraction form
    87,548/127,492 = 127,492/x
  3. Step 3: Cross multiply
    87,548x = 127,492 × 127,492
  4. Step 4: Simplify right side
    87,548x = 16,254,210,064
  5. Step 5: Solve for x
    x = 16,254,210,064/87,548
  6. Step 6: Final answer
    x = 185,660.55

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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.