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Finding the Third Proportional to 63,316.69 and 135,487.69

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Solution

The third proportional to 63,316.69 and 135,487.69 is: 289,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,316.69 : 135,487.69 = 135,487.69 : x
  2. Step 2: Convert to fraction form
    63,316.69/135,487.69 = 135,487.69/x
  3. Step 3: Cross multiply
    63,316.69x = 135,487.69 × 135,487.69
  4. Step 4: Simplify right side
    63,316.69x = 18,356,913,464.10
  5. Step 5: Solve for x
    x = 18,356,913,464.10/63,316.69
  6. Step 6: Final answer
    x = 289,922.20

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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.