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Finding the Third Proportional to 60,624 and 130,894

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Solution

The third proportional to 60,624 and 130,894 is: 282,614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,624 : 130,894 = 130,894 : x
  2. Step 2: Convert to fraction form
    60,624/130,894 = 130,894/x
  3. Step 3: Cross multiply
    60,624x = 130,894 × 130,894
  4. Step 4: Simplify right side
    60,624x = 17,133,239,236
  5. Step 5: Solve for x
    x = 17,133,239,236/60,624
  6. Step 6: Final answer
    x = 282,614.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.