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Finding the Third Proportional to 107,262 and 157,794

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Solution

The third proportional to 107,262 and 157,794 is: 232,132.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,262 : 157,794 = 157,794 : x
  2. Step 2: Convert to fraction form
    107,262/157,794 = 157,794/x
  3. Step 3: Cross multiply
    107,262x = 157,794 × 157,794
  4. Step 4: Simplify right side
    107,262x = 24,898,946,436
  5. Step 5: Solve for x
    x = 24,898,946,436/107,262
  6. Step 6: Final answer
    x = 232,132.04

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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.