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Finding the Third Proportional to 74,011 and 112,859

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Solution

The third proportional to 74,011 and 112,859 is: 172,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,011 : 112,859 = 112,859 : x
  2. Step 2: Convert to fraction form
    74,011/112,859 = 112,859/x
  3. Step 3: Cross multiply
    74,011x = 112,859 × 112,859
  4. Step 4: Simplify right side
    74,011x = 12,737,153,881
  5. Step 5: Solve for x
    x = 12,737,153,881/74,011
  6. Step 6: Final answer
    x = 172,098.12

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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.