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Finding the Third Proportional to 62,298 and 132,751.13

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Solution

The third proportional to 62,298 and 132,751.13 is: 282,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,298 : 132,751.13 = 132,751.13 : x
  2. Step 2: Convert to fraction form
    62,298/132,751.13 = 132,751.13/x
  3. Step 3: Cross multiply
    62,298x = 132,751.13 × 132,751.13
  4. Step 4: Simplify right side
    62,298x = 17,622,861,188.77
  5. Step 5: Solve for x
    x = 17,622,861,188.77/62,298
  6. Step 6: Final answer
    x = 282,880.05

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.