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Finding the Third Proportional to 107,700.75 and 178,876.13

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Solution

The third proportional to 107,700.75 and 178,876.13 is: 297,088.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,700.75 : 178,876.13 = 178,876.13 : x
  2. Step 2: Convert to fraction form
    107,700.75/178,876.13 = 178,876.13/x
  3. Step 3: Cross multiply
    107,700.75x = 178,876.13 × 178,876.13
  4. Step 4: Simplify right side
    107,700.75x = 31,996,668,095.02
  5. Step 5: Solve for x
    x = 31,996,668,095.02/107,700.75
  6. Step 6: Final answer
    x = 297,088.63

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.