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Finding the Third Proportional to 32,054 and 69,940

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Solution

The third proportional to 32,054 and 69,940 is: 152,605.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,054 : 69,940 = 69,940 : x
  2. Step 2: Convert to fraction form
    32,054/69,940 = 69,940/x
  3. Step 3: Cross multiply
    32,054x = 69,940 × 69,940
  4. Step 4: Simplify right side
    32,054x = 4,891,603,600
  5. Step 5: Solve for x
    x = 4,891,603,600/32,054
  6. Step 6: Final answer
    x = 152,605.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.