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Finding the Third Proportional to 52,459 and 79,127

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Solution

The third proportional to 52,459 and 79,127 is: 119,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,459 : 79,127 = 79,127 : x
  2. Step 2: Convert to fraction form
    52,459/79,127 = 79,127/x
  3. Step 3: Cross multiply
    52,459x = 79,127 × 79,127
  4. Step 4: Simplify right side
    52,459x = 6,261,082,129
  5. Step 5: Solve for x
    x = 6,261,082,129/52,459
  6. Step 6: Final answer
    x = 119,351.92

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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.