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Finding the Third Proportional to 73,394 and 112,460

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Solution

The third proportional to 73,394 and 112,460 is: 172,319.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,394 : 112,460 = 112,460 : x
  2. Step 2: Convert to fraction form
    73,394/112,460 = 112,460/x
  3. Step 3: Cross multiply
    73,394x = 112,460 × 112,460
  4. Step 4: Simplify right side
    73,394x = 12,647,251,600
  5. Step 5: Solve for x
    x = 12,647,251,600/73,394
  6. Step 6: Final answer
    x = 172,319.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.