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Finding the Third Proportional to 62,624 and 130,423

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Solution

The third proportional to 62,624 and 130,423 is: 271,623.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,624 : 130,423 = 130,423 : x
  2. Step 2: Convert to fraction form
    62,624/130,423 = 130,423/x
  3. Step 3: Cross multiply
    62,624x = 130,423 × 130,423
  4. Step 4: Simplify right side
    62,624x = 17,010,158,929
  5. Step 5: Solve for x
    x = 17,010,158,929/62,624
  6. Step 6: Final answer
    x = 271,623.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.