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Finding the Third Proportional to 72,291 and 112,806

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Solution

The third proportional to 72,291 and 112,806 is: 176,027.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,291 : 112,806 = 112,806 : x
  2. Step 2: Convert to fraction form
    72,291/112,806 = 112,806/x
  3. Step 3: Cross multiply
    72,291x = 112,806 × 112,806
  4. Step 4: Simplify right side
    72,291x = 12,725,193,636
  5. Step 5: Solve for x
    x = 12,725,193,636/72,291
  6. Step 6: Final answer
    x = 176,027.36

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.