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Finding the Third Proportional to 125,957 and 266,132

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Solution

The third proportional to 125,957 and 266,132 is: 562,304.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,957 : 266,132 = 266,132 : x
  2. Step 2: Convert to fraction form
    125,957/266,132 = 266,132/x
  3. Step 3: Cross multiply
    125,957x = 266,132 × 266,132
  4. Step 4: Simplify right side
    125,957x = 70,826,241,424
  5. Step 5: Solve for x
    x = 70,826,241,424/125,957
  6. Step 6: Final answer
    x = 562,304.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.