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Finding the Third Proportional to 52,307.44 and 67,161.66

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Solution

The third proportional to 52,307.44 and 67,161.66 is: 86,234.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,307.44 : 67,161.66 = 67,161.66 : x
  2. Step 2: Convert to fraction form
    52,307.44/67,161.66 = 67,161.66/x
  3. Step 3: Cross multiply
    52,307.44x = 67,161.66 × 67,161.66
  4. Step 4: Simplify right side
    52,307.44x = 4,510,688,070.24
  5. Step 5: Solve for x
    x = 4,510,688,070.24/52,307.44
  6. Step 6: Final answer
    x = 86,234.16

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Why These Related Problems?

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