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Finding the Third Proportional to 41,580 and 89,113.50

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Solution

The third proportional to 41,580 and 89,113.50 is: 190,986.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,580 : 89,113.50 = 89,113.50 : x
  2. Step 2: Convert to fraction form
    41,580/89,113.50 = 89,113.50/x
  3. Step 3: Cross multiply
    41,580x = 89,113.50 × 89,113.50
  4. Step 4: Simplify right side
    41,580x = 7,941,215,882.25
  5. Step 5: Solve for x
    x = 7,941,215,882.25/41,580
  6. Step 6: Final answer
    x = 190,986.43

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.