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Finding the Third Proportional to 82,026 and 125,748

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Solution

The third proportional to 82,026 and 125,748 is: 192,774.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,026 : 125,748 = 125,748 : x
  2. Step 2: Convert to fraction form
    82,026/125,748 = 125,748/x
  3. Step 3: Cross multiply
    82,026x = 125,748 × 125,748
  4. Step 4: Simplify right side
    82,026x = 15,812,559,504
  5. Step 5: Solve for x
    x = 15,812,559,504/82,026
  6. Step 6: Final answer
    x = 192,774.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.