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Finding the Third Proportional to 125,046 and 188,775

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Solution

The third proportional to 125,046 and 188,775 is: 284,983.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,046 : 188,775 = 188,775 : x
  2. Step 2: Convert to fraction form
    125,046/188,775 = 188,775/x
  3. Step 3: Cross multiply
    125,046x = 188,775 × 188,775
  4. Step 4: Simplify right side
    125,046x = 35,636,000,625
  5. Step 5: Solve for x
    x = 35,636,000,625/125,046
  6. Step 6: Final answer
    x = 284,983.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.