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Finding the Third Proportional to 72,785 and 110,491

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Solution

The third proportional to 72,785 and 110,491 is: 167,730.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,785 : 110,491 = 110,491 : x
  2. Step 2: Convert to fraction form
    72,785/110,491 = 110,491/x
  3. Step 3: Cross multiply
    72,785x = 110,491 × 110,491
  4. Step 4: Simplify right side
    72,785x = 12,208,261,081
  5. Step 5: Solve for x
    x = 12,208,261,081/72,785
  6. Step 6: Final answer
    x = 167,730.45

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.