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Finding the Third Proportional to 123,117.75 and 186,330.38

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Solution

The third proportional to 123,117.75 and 186,330.38 is: 281,998.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,117.75 : 186,330.38 = 186,330.38 : x
  2. Step 2: Convert to fraction form
    123,117.75/186,330.38 = 186,330.38/x
  3. Step 3: Cross multiply
    123,117.75x = 186,330.38 × 186,330.38
  4. Step 4: Simplify right side
    123,117.75x = 34,719,008,647.64
  5. Step 5: Solve for x
    x = 34,719,008,647.64/123,117.75
  6. Step 6: Final answer
    x = 281,998.40

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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.