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Finding the Third Proportional to 82,935.14 and 125,088.05

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Solution

The third proportional to 82,935.14 and 125,088.05 is: 188,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,935.14 : 125,088.05 = 125,088.05 : x
  2. Step 2: Convert to fraction form
    82,935.14/125,088.05 = 125,088.05/x
  3. Step 3: Cross multiply
    82,935.14x = 125,088.05 × 125,088.05
  4. Step 4: Simplify right side
    82,935.14x = 15,647,019,471.00
  5. Step 5: Solve for x
    x = 15,647,019,471.00/82,935.14
  6. Step 6: Final answer
    x = 188,665.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.