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Finding the Third Proportional to 58,650 and 125,606

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Solution

The third proportional to 58,650 and 125,606 is: 269,000.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,650 : 125,606 = 125,606 : x
  2. Step 2: Convert to fraction form
    58,650/125,606 = 125,606/x
  3. Step 3: Cross multiply
    58,650x = 125,606 × 125,606
  4. Step 4: Simplify right side
    58,650x = 15,776,867,236
  5. Step 5: Solve for x
    x = 15,776,867,236/58,650
  6. Step 6: Final answer
    x = 269,000.29

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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.