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Finding the Third Proportional to 77,934 and 111,438

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Solution

The third proportional to 77,934 and 111,438 is: 159,345.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,934 : 111,438 = 111,438 : x
  2. Step 2: Convert to fraction form
    77,934/111,438 = 111,438/x
  3. Step 3: Cross multiply
    77,934x = 111,438 × 111,438
  4. Step 4: Simplify right side
    77,934x = 12,418,427,844
  5. Step 5: Solve for x
    x = 12,418,427,844/77,934
  6. Step 6: Final answer
    x = 159,345.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.