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Finding the Third Proportional to 83,576 and 183,688

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Solution

The third proportional to 83,576 and 183,688 is: 403,719.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,576 : 183,688 = 183,688 : x
  2. Step 2: Convert to fraction form
    83,576/183,688 = 183,688/x
  3. Step 3: Cross multiply
    83,576x = 183,688 × 183,688
  4. Step 4: Simplify right side
    83,576x = 33,741,281,344
  5. Step 5: Solve for x
    x = 33,741,281,344/83,576
  6. Step 6: Final answer
    x = 403,719.74

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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.