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Finding the Third Proportional to 88,012 and 207,560

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Solution

The third proportional to 88,012 and 207,560 is: 489,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,012 : 207,560 = 207,560 : x
  2. Step 2: Convert to fraction form
    88,012/207,560 = 207,560/x
  3. Step 3: Cross multiply
    88,012x = 207,560 × 207,560
  4. Step 4: Simplify right side
    88,012x = 43,081,153,600
  5. Step 5: Solve for x
    x = 43,081,153,600/88,012
  6. Step 6: Final answer
    x = 489,491.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.