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Finding the Third Proportional to 51,988.50 and 83,720.25

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Solution

The third proportional to 51,988.50 and 83,720.25 is: 134,819.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,988.50 : 83,720.25 = 83,720.25 : x
  2. Step 2: Convert to fraction form
    51,988.50/83,720.25 = 83,720.25/x
  3. Step 3: Cross multiply
    51,988.50x = 83,720.25 × 83,720.25
  4. Step 4: Simplify right side
    51,988.50x = 7,009,080,260.06
  5. Step 5: Solve for x
    x = 7,009,080,260.06/51,988.50
  6. Step 6: Final answer
    x = 134,819.82

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.