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Finding the Third Proportional to 75,390.75 and 148,878

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Solution

The third proportional to 75,390.75 and 148,878 is: 293,997.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,390.75 : 148,878 = 148,878 : x
  2. Step 2: Convert to fraction form
    75,390.75/148,878 = 148,878/x
  3. Step 3: Cross multiply
    75,390.75x = 148,878 × 148,878
  4. Step 4: Simplify right side
    75,390.75x = 22,164,658,884
  5. Step 5: Solve for x
    x = 22,164,658,884/75,390.75
  6. Step 6: Final answer
    x = 293,997.06

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.