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Finding the Third Proportional to 63,221.77 and 135,411.75

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Solution

The third proportional to 63,221.77 and 135,411.75 is: 290,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,221.77 : 135,411.75 = 135,411.75 : x
  2. Step 2: Convert to fraction form
    63,221.77/135,411.75 = 135,411.75/x
  3. Step 3: Cross multiply
    63,221.77x = 135,411.75 × 135,411.75
  4. Step 4: Simplify right side
    63,221.77x = 18,336,342,038.06
  5. Step 5: Solve for x
    x = 18,336,342,038.06/63,221.77
  6. Step 6: Final answer
    x = 290,032.11

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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.