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Finding the Third Proportional to 72,466 and 110,854

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Solution

The third proportional to 72,466 and 110,854 is: 169,577.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,466 : 110,854 = 110,854 : x
  2. Step 2: Convert to fraction form
    72,466/110,854 = 110,854/x
  3. Step 3: Cross multiply
    72,466x = 110,854 × 110,854
  4. Step 4: Simplify right side
    72,466x = 12,288,609,316
  5. Step 5: Solve for x
    x = 12,288,609,316/72,466
  6. Step 6: Final answer
    x = 169,577.59

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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.