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Finding the Third Proportional to 130,508 and 186,674

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Solution

The third proportional to 130,508 and 186,674 is: 267,011.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,508 : 186,674 = 186,674 : x
  2. Step 2: Convert to fraction form
    130,508/186,674 = 186,674/x
  3. Step 3: Cross multiply
    130,508x = 186,674 × 186,674
  4. Step 4: Simplify right side
    130,508x = 34,847,182,276
  5. Step 5: Solve for x
    x = 34,847,182,276/130,508
  6. Step 6: Final answer
    x = 267,011.85

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.