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Finding the Third Proportional to 52,139.81 and 121,521.38

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Solution

The third proportional to 52,139.81 and 121,521.38 is: 283,227.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,139.81 : 121,521.38 = 121,521.38 : x
  2. Step 2: Convert to fraction form
    52,139.81/121,521.38 = 121,521.38/x
  3. Step 3: Cross multiply
    52,139.81x = 121,521.38 × 121,521.38
  4. Step 4: Simplify right side
    52,139.81x = 14,767,444,581.89
  5. Step 5: Solve for x
    x = 14,767,444,581.89/52,139.81
  6. Step 6: Final answer
    x = 283,227.80

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These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.