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Finding the Third Proportional to 73,062 and 107,289

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Solution

The third proportional to 73,062 and 107,289 is: 157,550.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,062 : 107,289 = 107,289 : x
  2. Step 2: Convert to fraction form
    73,062/107,289 = 107,289/x
  3. Step 3: Cross multiply
    73,062x = 107,289 × 107,289
  4. Step 4: Simplify right side
    73,062x = 11,510,929,521
  5. Step 5: Solve for x
    x = 11,510,929,521/73,062
  6. Step 6: Final answer
    x = 157,550.16

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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.