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Finding the Third Proportional to 52,294.13 and 107,683.13

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Solution

The third proportional to 52,294.13 and 107,683.13 is: 221,739.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,294.13 : 107,683.13 = 107,683.13 : x
  2. Step 2: Convert to fraction form
    52,294.13/107,683.13 = 107,683.13/x
  3. Step 3: Cross multiply
    52,294.13x = 107,683.13 × 107,683.13
  4. Step 4: Simplify right side
    52,294.13x = 11,595,655,409.77
  5. Step 5: Solve for x
    x = 11,595,655,409.77/52,294.13
  6. Step 6: Final answer
    x = 221,739.16

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.