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Finding the Third Proportional to 125,987 and 274,117

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Solution

The third proportional to 125,987 and 274,117 is: 596,411.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,987 : 274,117 = 274,117 : x
  2. Step 2: Convert to fraction form
    125,987/274,117 = 274,117/x
  3. Step 3: Cross multiply
    125,987x = 274,117 × 274,117
  4. Step 4: Simplify right side
    125,987x = 75,140,129,689
  5. Step 5: Solve for x
    x = 75,140,129,689/125,987
  6. Step 6: Final answer
    x = 596,411.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.