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Finding the Third Proportional to 63,127.13 and 105,199.88

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Solution

The third proportional to 63,127.13 and 105,199.88 is: 175,313.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,127.13 : 105,199.88 = 105,199.88 : x
  2. Step 2: Convert to fraction form
    63,127.13/105,199.88 = 105,199.88/x
  3. Step 3: Cross multiply
    63,127.13x = 105,199.88 × 105,199.88
  4. Step 4: Simplify right side
    63,127.13x = 11,067,013,700.02
  5. Step 5: Solve for x
    x = 11,067,013,700.02/63,127.13
  6. Step 6: Final answer
    x = 175,313.13

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.