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Finding the Third Proportional to 63,031.50 and 135,620.25

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Solution

The third proportional to 63,031.50 and 135,620.25 is: 291,804.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,031.50 : 135,620.25 = 135,620.25 : x
  2. Step 2: Convert to fraction form
    63,031.50/135,620.25 = 135,620.25/x
  3. Step 3: Cross multiply
    63,031.50x = 135,620.25 × 135,620.25
  4. Step 4: Simplify right side
    63,031.50x = 18,392,852,210.06
  5. Step 5: Solve for x
    x = 18,392,852,210.06/63,031.50
  6. Step 6: Final answer
    x = 291,804.13

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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.