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Finding the Third Proportional to 73,854 and 110,502

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Solution

The third proportional to 73,854 and 110,502 is: 165,335.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,854 : 110,502 = 110,502 : x
  2. Step 2: Convert to fraction form
    73,854/110,502 = 110,502/x
  3. Step 3: Cross multiply
    73,854x = 110,502 × 110,502
  4. Step 4: Simplify right side
    73,854x = 12,210,692,004
  5. Step 5: Solve for x
    x = 12,210,692,004/73,854
  6. Step 6: Final answer
    x = 165,335.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.