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Finding the Third Proportional to 132,070.50 and 282,836.81

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Solution

The third proportional to 132,070.50 and 282,836.81 is: 605,711.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,070.50 : 282,836.81 = 282,836.81 : x
  2. Step 2: Convert to fraction form
    132,070.50/282,836.81 = 282,836.81/x
  3. Step 3: Cross multiply
    132,070.50x = 282,836.81 × 282,836.81
  4. Step 4: Simplify right side
    132,070.50x = 79,996,662,505.16
  5. Step 5: Solve for x
    x = 79,996,662,505.16/132,070.50
  6. Step 6: Final answer
    x = 605,711.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.