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Finding the Third Proportional to 121,662 and 162,740.81

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Solution

The third proportional to 121,662 and 162,740.81 is: 217,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,662 : 162,740.81 = 162,740.81 : x
  2. Step 2: Convert to fraction form
    121,662/162,740.81 = 162,740.81/x
  3. Step 3: Cross multiply
    121,662x = 162,740.81 × 162,740.81
  4. Step 4: Simplify right side
    121,662x = 26,484,572,053.16
  5. Step 5: Solve for x
    x = 26,484,572,053.16/121,662
  6. Step 6: Final answer
    x = 217,689.76

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