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Finding the Third Proportional to 71,062 and 104,289

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Solution

The third proportional to 71,062 and 104,289 is: 153,052.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,062 : 104,289 = 104,289 : x
  2. Step 2: Convert to fraction form
    71,062/104,289 = 104,289/x
  3. Step 3: Cross multiply
    71,062x = 104,289 × 104,289
  4. Step 4: Simplify right side
    71,062x = 10,876,195,521
  5. Step 5: Solve for x
    x = 10,876,195,521/71,062
  6. Step 6: Final answer
    x = 153,052.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.