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Finding the Third Proportional to 34,086.50 and 72,911

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Solution

The third proportional to 34,086.50 and 72,911 is: 155,956.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,086.50 : 72,911 = 72,911 : x
  2. Step 2: Convert to fraction form
    34,086.50/72,911 = 72,911/x
  3. Step 3: Cross multiply
    34,086.50x = 72,911 × 72,911
  4. Step 4: Simplify right side
    34,086.50x = 5,316,013,921
  5. Step 5: Solve for x
    x = 5,316,013,921/34,086.50
  6. Step 6: Final answer
    x = 155,956.58

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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.