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Finding the Third Proportional to 55,357.50 and 83,021.75

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Solution

The third proportional to 55,357.50 and 83,021.75 is: 124,510.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,357.50 : 83,021.75 = 83,021.75 : x
  2. Step 2: Convert to fraction form
    55,357.50/83,021.75 = 83,021.75/x
  3. Step 3: Cross multiply
    55,357.50x = 83,021.75 × 83,021.75
  4. Step 4: Simplify right side
    55,357.50x = 6,892,610,973.06
  5. Step 5: Solve for x
    x = 6,892,610,973.06/55,357.50
  6. Step 6: Final answer
    x = 124,510.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.