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Finding the Third Proportional to 45,050 and 67,413

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Solution

The third proportional to 45,050 and 67,413 is: 100,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,050 : 67,413 = 67,413 : x
  2. Step 2: Convert to fraction form
    45,050/67,413 = 67,413/x
  3. Step 3: Cross multiply
    45,050x = 67,413 × 67,413
  4. Step 4: Simplify right side
    45,050x = 4,544,512,569
  5. Step 5: Solve for x
    x = 4,544,512,569/45,050
  6. Step 6: Final answer
    x = 100,877.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.