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Finding the Third Proportional to 44,122 and 86,030

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Solution

The third proportional to 44,122 and 86,030 is: 167,743.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,122 : 86,030 = 86,030 : x
  2. Step 2: Convert to fraction form
    44,122/86,030 = 86,030/x
  3. Step 3: Cross multiply
    44,122x = 86,030 × 86,030
  4. Step 4: Simplify right side
    44,122x = 7,401,160,900
  5. Step 5: Solve for x
    x = 7,401,160,900/44,122
  6. Step 6: Final answer
    x = 167,743.10

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.