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Finding the Third Proportional to 64,062 and 137,376

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Solution

The third proportional to 64,062 and 137,376 is: 294,592.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,062 : 137,376 = 137,376 : x
  2. Step 2: Convert to fraction form
    64,062/137,376 = 137,376/x
  3. Step 3: Cross multiply
    64,062x = 137,376 × 137,376
  4. Step 4: Simplify right side
    64,062x = 18,872,165,376
  5. Step 5: Solve for x
    x = 18,872,165,376/64,062
  6. Step 6: Final answer
    x = 294,592.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.