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Finding the Third Proportional to 43,722 and 93,522

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Solution

The third proportional to 43,722 and 93,522 is: 200,044.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,722 : 93,522 = 93,522 : x
  2. Step 2: Convert to fraction form
    43,722/93,522 = 93,522/x
  3. Step 3: Cross multiply
    43,722x = 93,522 × 93,522
  4. Step 4: Simplify right side
    43,722x = 8,746,364,484
  5. Step 5: Solve for x
    x = 8,746,364,484/43,722
  6. Step 6: Final answer
    x = 200,044.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.