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Finding the Third Proportional to 60,229 and 93,680

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Solution

The third proportional to 60,229 and 93,680 is: 145,709.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,229 : 93,680 = 93,680 : x
  2. Step 2: Convert to fraction form
    60,229/93,680 = 93,680/x
  3. Step 3: Cross multiply
    60,229x = 93,680 × 93,680
  4. Step 4: Simplify right side
    60,229x = 8,775,942,400
  5. Step 5: Solve for x
    x = 8,775,942,400/60,229
  6. Step 6: Final answer
    x = 145,709.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.