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Finding the Third Proportional to 125,967 and 185,275

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Solution

The third proportional to 125,967 and 185,275 is: 272,506.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,967 : 185,275 = 185,275 : x
  2. Step 2: Convert to fraction form
    125,967/185,275 = 185,275/x
  3. Step 3: Cross multiply
    125,967x = 185,275 × 185,275
  4. Step 4: Simplify right side
    125,967x = 34,326,825,625
  5. Step 5: Solve for x
    x = 34,326,825,625/125,967
  6. Step 6: Final answer
    x = 272,506.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.