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Finding the Third Proportional to 64,519 and 101,387

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Solution

The third proportional to 64,519 and 101,387 is: 159,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,519 : 101,387 = 101,387 : x
  2. Step 2: Convert to fraction form
    64,519/101,387 = 101,387/x
  3. Step 3: Cross multiply
    64,519x = 101,387 × 101,387
  4. Step 4: Simplify right side
    64,519x = 10,279,323,769
  5. Step 5: Solve for x
    x = 10,279,323,769/64,519
  6. Step 6: Final answer
    x = 159,322.43

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.