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Finding the Third Proportional to 73,905 and 112,703

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Solution

The third proportional to 73,905 and 112,703 is: 171,868.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,905 : 112,703 = 112,703 : x
  2. Step 2: Convert to fraction form
    73,905/112,703 = 112,703/x
  3. Step 3: Cross multiply
    73,905x = 112,703 × 112,703
  4. Step 4: Simplify right side
    73,905x = 12,701,966,209
  5. Step 5: Solve for x
    x = 12,701,966,209/73,905
  6. Step 6: Final answer
    x = 171,868.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.