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Finding the Third Proportional to 58,419 and 88,020

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Solution

The third proportional to 58,419 and 88,020 is: 132,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,419 : 88,020 = 88,020 : x
  2. Step 2: Convert to fraction form
    58,419/88,020 = 88,020/x
  3. Step 3: Cross multiply
    58,419x = 88,020 × 88,020
  4. Step 4: Simplify right side
    58,419x = 7,747,520,400
  5. Step 5: Solve for x
    x = 7,747,520,400/58,419
  6. Step 6: Final answer
    x = 132,619.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.