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Finding the Third Proportional to 31,160.95 and 68,552.58

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Solution

The third proportional to 31,160.95 and 68,552.58 is: 150,812.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,160.95 : 68,552.58 = 68,552.58 : x
  2. Step 2: Convert to fraction form
    31,160.95/68,552.58 = 68,552.58/x
  3. Step 3: Cross multiply
    31,160.95x = 68,552.58 × 68,552.58
  4. Step 4: Simplify right side
    31,160.95x = 4,699,455,967.58
  5. Step 5: Solve for x
    x = 4,699,455,967.58/31,160.95
  6. Step 6: Final answer
    x = 150,812.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.