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Finding the Third Proportional to 51,924 and 113,459

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Solution

The third proportional to 51,924 and 113,459 is: 247,918.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,924 : 113,459 = 113,459 : x
  2. Step 2: Convert to fraction form
    51,924/113,459 = 113,459/x
  3. Step 3: Cross multiply
    51,924x = 113,459 × 113,459
  4. Step 4: Simplify right side
    51,924x = 12,872,944,681
  5. Step 5: Solve for x
    x = 12,872,944,681/51,924
  6. Step 6: Final answer
    x = 247,918.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.