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Finding the Third Proportional to 68,376 and 148,560

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Solution

The third proportional to 68,376 and 148,560 is: 322,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,376 : 148,560 = 148,560 : x
  2. Step 2: Convert to fraction form
    68,376/148,560 = 148,560/x
  3. Step 3: Cross multiply
    68,376x = 148,560 × 148,560
  4. Step 4: Simplify right side
    68,376x = 22,070,073,600
  5. Step 5: Solve for x
    x = 22,070,073,600/68,376
  6. Step 6: Final answer
    x = 322,775.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.