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Finding the Third Proportional to 38,126 and 83,614

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Solution

The third proportional to 38,126 and 83,614 is: 183,373.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,126 : 83,614 = 83,614 : x
  2. Step 2: Convert to fraction form
    38,126/83,614 = 83,614/x
  3. Step 3: Cross multiply
    38,126x = 83,614 × 83,614
  4. Step 4: Simplify right side
    38,126x = 6,991,300,996
  5. Step 5: Solve for x
    x = 6,991,300,996/38,126
  6. Step 6: Final answer
    x = 183,373.58

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.