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Finding the Third Proportional to 76,248 and 113,940

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Solution

The third proportional to 76,248 and 113,940 is: 170,264.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,248 : 113,940 = 113,940 : x
  2. Step 2: Convert to fraction form
    76,248/113,940 = 113,940/x
  3. Step 3: Cross multiply
    76,248x = 113,940 × 113,940
  4. Step 4: Simplify right side
    76,248x = 12,982,323,600
  5. Step 5: Solve for x
    x = 12,982,323,600/76,248
  6. Step 6: Final answer
    x = 170,264.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.