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Finding the Third Proportional to 52,111.13 and 106,062.38

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Solution

The third proportional to 52,111.13 and 106,062.38 is: 215,869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,111.13 : 106,062.38 = 106,062.38 : x
  2. Step 2: Convert to fraction form
    52,111.13/106,062.38 = 106,062.38/x
  3. Step 3: Cross multiply
    52,111.13x = 106,062.38 × 106,062.38
  4. Step 4: Simplify right side
    52,111.13x = 11,249,227,390.64
  5. Step 5: Solve for x
    x = 11,249,227,390.64/52,111.13
  6. Step 6: Final answer
    x = 215,869.98

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.