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Finding the Third Proportional to 60,717 and 90,451.50

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Solution

The third proportional to 60,717 and 90,451.50 is: 134,747.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,717 : 90,451.50 = 90,451.50 : x
  2. Step 2: Convert to fraction form
    60,717/90,451.50 = 90,451.50/x
  3. Step 3: Cross multiply
    60,717x = 90,451.50 × 90,451.50
  4. Step 4: Simplify right side
    60,717x = 8,181,473,852.25
  5. Step 5: Solve for x
    x = 8,181,473,852.25/60,717
  6. Step 6: Final answer
    x = 134,747.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.