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Finding the Third Proportional to 124,918.88 and 178,036.13

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Solution

The third proportional to 124,918.88 and 178,036.13 is: 253,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,918.88 : 178,036.13 = 178,036.13 : x
  2. Step 2: Convert to fraction form
    124,918.88/178,036.13 = 178,036.13/x
  3. Step 3: Cross multiply
    124,918.88x = 178,036.13 × 178,036.13
  4. Step 4: Simplify right side
    124,918.88x = 31,696,861,805.02
  5. Step 5: Solve for x
    x = 31,696,861,805.02/124,918.88
  6. Step 6: Final answer
    x = 253,739.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.