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Finding the Third Proportional to 71,497.69 and 155,710.69

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Solution

The third proportional to 71,497.69 and 155,710.69 is: 339,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,497.69 : 155,710.69 = 155,710.69 : x
  2. Step 2: Convert to fraction form
    71,497.69/155,710.69 = 155,710.69/x
  3. Step 3: Cross multiply
    71,497.69x = 155,710.69 × 155,710.69
  4. Step 4: Simplify right side
    71,497.69x = 24,245,818,201.72
  5. Step 5: Solve for x
    x = 24,245,818,201.72/71,497.69
  6. Step 6: Final answer
    x = 339,113.32

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.