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Finding the Third Proportional to 52,307 and 67,160.50

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Solution

The third proportional to 52,307 and 67,160.50 is: 86,231.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,307 : 67,160.50 = 67,160.50 : x
  2. Step 2: Convert to fraction form
    52,307/67,160.50 = 67,160.50/x
  3. Step 3: Cross multiply
    52,307x = 67,160.50 × 67,160.50
  4. Step 4: Simplify right side
    52,307x = 4,510,532,760.25
  5. Step 5: Solve for x
    x = 4,510,532,760.25/52,307
  6. Step 6: Final answer
    x = 86,231.91

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.