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Finding the Third Proportional to 52,989.19 and 108,712.13

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Solution

The third proportional to 52,989.19 and 108,712.13 is: 223,032.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,989.19 : 108,712.13 = 108,712.13 : x
  2. Step 2: Convert to fraction form
    52,989.19/108,712.13 = 108,712.13/x
  3. Step 3: Cross multiply
    52,989.19x = 108,712.13 × 108,712.13
  4. Step 4: Simplify right side
    52,989.19x = 11,818,326,122.02
  5. Step 5: Solve for x
    x = 11,818,326,122.02/52,989.19
  6. Step 6: Final answer
    x = 223,032.79

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.