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Finding the Third Proportional to 63,681.19 and 137,143.13

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Solution

The third proportional to 63,681.19 and 137,143.13 is: 295,349.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,681.19 : 137,143.13 = 137,143.13 : x
  2. Step 2: Convert to fraction form
    63,681.19/137,143.13 = 137,143.13/x
  3. Step 3: Cross multiply
    63,681.19x = 137,143.13 × 137,143.13
  4. Step 4: Simplify right side
    63,681.19x = 18,808,236,734.77
  5. Step 5: Solve for x
    x = 18,808,236,734.77/63,681.19
  6. Step 6: Final answer
    x = 295,349.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.