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Finding the Third Proportional to 67,376 and 93,440

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Solution

The third proportional to 67,376 and 93,440 is: 129,586.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,376 : 93,440 = 93,440 : x
  2. Step 2: Convert to fraction form
    67,376/93,440 = 93,440/x
  3. Step 3: Cross multiply
    67,376x = 93,440 × 93,440
  4. Step 4: Simplify right side
    67,376x = 8,731,033,600
  5. Step 5: Solve for x
    x = 8,731,033,600/67,376
  6. Step 6: Final answer
    x = 129,586.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.