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Finding the Third Proportional to 64,948.50 and 101,523.38

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Solution

The third proportional to 64,948.50 and 101,523.38 is: 158,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,948.50 : 101,523.38 = 101,523.38 : x
  2. Step 2: Convert to fraction form
    64,948.50/101,523.38 = 101,523.38/x
  3. Step 3: Cross multiply
    64,948.50x = 101,523.38 × 101,523.38
  4. Step 4: Simplify right side
    64,948.50x = 10,306,995,671.39
  5. Step 5: Solve for x
    x = 10,306,995,671.39/64,948.50
  6. Step 6: Final answer
    x = 158,694.90

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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.