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Finding the Third Proportional to 63,602 and 125,602

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Solution

The third proportional to 63,602 and 125,602 is: 248,040.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,602 : 125,602 = 125,602 : x
  2. Step 2: Convert to fraction form
    63,602/125,602 = 125,602/x
  3. Step 3: Cross multiply
    63,602x = 125,602 × 125,602
  4. Step 4: Simplify right side
    63,602x = 15,775,862,404
  5. Step 5: Solve for x
    x = 15,775,862,404/63,602
  6. Step 6: Final answer
    x = 248,040.35

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.