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Finding the Third Proportional to 75,460.50 and 81,931.50

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Solution

The third proportional to 75,460.50 and 81,931.50 is: 88,957.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,460.50 : 81,931.50 = 81,931.50 : x
  2. Step 2: Convert to fraction form
    75,460.50/81,931.50 = 81,931.50/x
  3. Step 3: Cross multiply
    75,460.50x = 81,931.50 × 81,931.50
  4. Step 4: Simplify right side
    75,460.50x = 6,712,770,692.25
  5. Step 5: Solve for x
    x = 6,712,770,692.25/75,460.50
  6. Step 6: Final answer
    x = 88,957.41

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.