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Finding the Third Proportional to 60,184.50 and 93,142.50

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Solution

The third proportional to 60,184.50 and 93,142.50 is: 144,148.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,184.50 : 93,142.50 = 93,142.50 : x
  2. Step 2: Convert to fraction form
    60,184.50/93,142.50 = 93,142.50/x
  3. Step 3: Cross multiply
    60,184.50x = 93,142.50 × 93,142.50
  4. Step 4: Simplify right side
    60,184.50x = 8,675,525,306.25
  5. Step 5: Solve for x
    x = 8,675,525,306.25/60,184.50
  6. Step 6: Final answer
    x = 144,148.83

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