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Finding the Third Proportional to 113,948 and 124,882

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Solution

The third proportional to 113,948 and 124,882 is: 136,865.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,948 : 124,882 = 124,882 : x
  2. Step 2: Convert to fraction form
    113,948/124,882 = 124,882/x
  3. Step 3: Cross multiply
    113,948x = 124,882 × 124,882
  4. Step 4: Simplify right side
    113,948x = 15,595,513,924
  5. Step 5: Solve for x
    x = 15,595,513,924/113,948
  6. Step 6: Final answer
    x = 136,865.18

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.