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Finding the Third Proportional to 121,657 and 162,733

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Solution

The third proportional to 121,657 and 162,733 is: 217,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,657 : 162,733 = 162,733 : x
  2. Step 2: Convert to fraction form
    121,657/162,733 = 162,733/x
  3. Step 3: Cross multiply
    121,657x = 162,733 × 162,733
  4. Step 4: Simplify right side
    121,657x = 26,482,029,289
  5. Step 5: Solve for x
    x = 26,482,029,289/121,657
  6. Step 6: Final answer
    x = 217,677.81

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.