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Finding the Third Proportional to 51,061.50 and 71,421.75

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Solution

The third proportional to 51,061.50 and 71,421.75 is: 99,900.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,061.50 : 71,421.75 = 71,421.75 : x
  2. Step 2: Convert to fraction form
    51,061.50/71,421.75 = 71,421.75/x
  3. Step 3: Cross multiply
    51,061.50x = 71,421.75 × 71,421.75
  4. Step 4: Simplify right side
    51,061.50x = 5,101,066,373.06
  5. Step 5: Solve for x
    x = 5,101,066,373.06/51,061.50
  6. Step 6: Final answer
    x = 99,900.44

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.