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Finding the Third Proportional to 63,125 and 136,090

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Solution

The third proportional to 63,125 and 136,090 is: 293,393.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,125 : 136,090 = 136,090 : x
  2. Step 2: Convert to fraction form
    63,125/136,090 = 136,090/x
  3. Step 3: Cross multiply
    63,125x = 136,090 × 136,090
  4. Step 4: Simplify right side
    63,125x = 18,520,488,100
  5. Step 5: Solve for x
    x = 18,520,488,100/63,125
  6. Step 6: Final answer
    x = 293,393.87

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.