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Finding the Third Proportional to 60,952.50 and 94,189.50

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Solution

The third proportional to 60,952.50 and 94,189.50 is: 145,550.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,952.50 : 94,189.50 = 94,189.50 : x
  2. Step 2: Convert to fraction form
    60,952.50/94,189.50 = 94,189.50/x
  3. Step 3: Cross multiply
    60,952.50x = 94,189.50 × 94,189.50
  4. Step 4: Simplify right side
    60,952.50x = 8,871,661,910.25
  5. Step 5: Solve for x
    x = 8,871,661,910.25/60,952.50
  6. Step 6: Final answer
    x = 145,550.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.