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Finding the Third Proportional to 107,150 and 145,943

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Solution

The third proportional to 107,150 and 145,943 is: 198,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,150 : 145,943 = 145,943 : x
  2. Step 2: Convert to fraction form
    107,150/145,943 = 145,943/x
  3. Step 3: Cross multiply
    107,150x = 145,943 × 145,943
  4. Step 4: Simplify right side
    107,150x = 21,299,359,249
  5. Step 5: Solve for x
    x = 21,299,359,249/107,150
  6. Step 6: Final answer
    x = 198,780.77

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.