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Finding the Third Proportional to 72,582 and 111,034

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Solution

The third proportional to 72,582 and 111,034 is: 169,856.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,582 : 111,034 = 111,034 : x
  2. Step 2: Convert to fraction form
    72,582/111,034 = 111,034/x
  3. Step 3: Cross multiply
    72,582x = 111,034 × 111,034
  4. Step 4: Simplify right side
    72,582x = 12,328,549,156
  5. Step 5: Solve for x
    x = 12,328,549,156/72,582
  6. Step 6: Final answer
    x = 169,856.84

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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.