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Finding the Third Proportional to 52,865.63 and 81,984.38

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Solution

The third proportional to 52,865.63 and 81,984.38 is: 127,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,865.63 : 81,984.38 = 81,984.38 : x
  2. Step 2: Convert to fraction form
    52,865.63/81,984.38 = 81,984.38/x
  3. Step 3: Cross multiply
    52,865.63x = 81,984.38 × 81,984.38
  4. Step 4: Simplify right side
    52,865.63x = 6,721,437,744.14
  5. Step 5: Solve for x
    x = 6,721,437,744.14/52,865.63
  6. Step 6: Final answer
    x = 127,141.93

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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.