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Finding the Third Proportional to 82,725 and 110,934

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Solution

The third proportional to 82,725 and 110,934 is: 148,762.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,725 : 110,934 = 110,934 : x
  2. Step 2: Convert to fraction form
    82,725/110,934 = 110,934/x
  3. Step 3: Cross multiply
    82,725x = 110,934 × 110,934
  4. Step 4: Simplify right side
    82,725x = 12,306,352,356
  5. Step 5: Solve for x
    x = 12,306,352,356/82,725
  6. Step 6: Final answer
    x = 148,762.19

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.