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Finding the Third Proportional to 120,416 and 187,062

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Solution

The third proportional to 120,416 and 187,062 is: 290,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,416 : 187,062 = 187,062 : x
  2. Step 2: Convert to fraction form
    120,416/187,062 = 187,062/x
  3. Step 3: Cross multiply
    120,416x = 187,062 × 187,062
  4. Step 4: Simplify right side
    120,416x = 34,992,191,844
  5. Step 5: Solve for x
    x = 34,992,191,844/120,416
  6. Step 6: Final answer
    x = 290,594.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.