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Finding the Third Proportional to 103,566 and 138,423

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Solution

The third proportional to 103,566 and 138,423 is: 185,011.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,566 : 138,423 = 138,423 : x
  2. Step 2: Convert to fraction form
    103,566/138,423 = 138,423/x
  3. Step 3: Cross multiply
    103,566x = 138,423 × 138,423
  4. Step 4: Simplify right side
    103,566x = 19,160,926,929
  5. Step 5: Solve for x
    x = 19,160,926,929/103,566
  6. Step 6: Final answer
    x = 185,011.75

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.