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Finding the Third Proportional to 32,404 and 70,904

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Solution

The third proportional to 32,404 and 70,904 is: 155,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,404 : 70,904 = 70,904 : x
  2. Step 2: Convert to fraction form
    32,404/70,904 = 70,904/x
  3. Step 3: Cross multiply
    32,404x = 70,904 × 70,904
  4. Step 4: Simplify right side
    32,404x = 5,027,377,216
  5. Step 5: Solve for x
    x = 5,027,377,216/32,404
  6. Step 6: Final answer
    x = 155,146.81

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.