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Finding the Third Proportional to 123,428.25 and 186,873.75

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Solution

The third proportional to 123,428.25 and 186,873.75 is: 282,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,428.25 : 186,873.75 = 186,873.75 : x
  2. Step 2: Convert to fraction form
    123,428.25/186,873.75 = 186,873.75/x
  3. Step 3: Cross multiply
    123,428.25x = 186,873.75 × 186,873.75
  4. Step 4: Simplify right side
    123,428.25x = 34,921,798,439.06
  5. Step 5: Solve for x
    x = 34,921,798,439.06/123,428.25
  6. Step 6: Final answer
    x = 282,931.97

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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.