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Finding the Third Proportional to 53,419.88 and 83,043.56

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Solution

The third proportional to 53,419.88 and 83,043.56 is: 129,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,419.88 : 83,043.56 = 83,043.56 : x
  2. Step 2: Convert to fraction form
    53,419.88/83,043.56 = 83,043.56/x
  3. Step 3: Cross multiply
    53,419.88x = 83,043.56 × 83,043.56
  4. Step 4: Simplify right side
    53,419.88x = 6,896,233,272.69
  5. Step 5: Solve for x
    x = 6,896,233,272.69/53,419.88
  6. Step 6: Final answer
    x = 129,094.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.