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Finding the Third Proportional to 123,400.13 and 186,618.94

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Solution

The third proportional to 123,400.13 and 186,618.94 is: 282,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,400.13 : 186,618.94 = 186,618.94 : x
  2. Step 2: Convert to fraction form
    123,400.13/186,618.94 = 186,618.94/x
  3. Step 3: Cross multiply
    123,400.13x = 186,618.94 × 186,618.94
  4. Step 4: Simplify right side
    123,400.13x = 34,826,627,833.63
  5. Step 5: Solve for x
    x = 34,826,627,833.63/123,400.13
  6. Step 6: Final answer
    x = 282,225.22

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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.