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Finding the Third Proportional to 119,650 and 174,282

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Solution

The third proportional to 119,650 and 174,282 is: 253,858.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,650 : 174,282 = 174,282 : x
  2. Step 2: Convert to fraction form
    119,650/174,282 = 174,282/x
  3. Step 3: Cross multiply
    119,650x = 174,282 × 174,282
  4. Step 4: Simplify right side
    119,650x = 30,374,215,524
  5. Step 5: Solve for x
    x = 30,374,215,524/119,650
  6. Step 6: Final answer
    x = 253,858.88

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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.