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Finding the Third Proportional to 63,158.91 and 135,069.19

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Solution

The third proportional to 63,158.91 and 135,069.19 is: 288,853.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,158.91 : 135,069.19 = 135,069.19 : x
  2. Step 2: Convert to fraction form
    63,158.91/135,069.19 = 135,069.19/x
  3. Step 3: Cross multiply
    63,158.91x = 135,069.19 × 135,069.19
  4. Step 4: Simplify right side
    63,158.91x = 18,243,685,411.91
  5. Step 5: Solve for x
    x = 18,243,685,411.91/63,158.91
  6. Step 6: Final answer
    x = 288,853.73

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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.