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Finding the Third Proportional to 45,904 and 70,934

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Solution

The third proportional to 45,904 and 70,934 is: 109,612.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,904 : 70,934 = 70,934 : x
  2. Step 2: Convert to fraction form
    45,904/70,934 = 70,934/x
  3. Step 3: Cross multiply
    45,904x = 70,934 × 70,934
  4. Step 4: Simplify right side
    45,904x = 5,031,632,356
  5. Step 5: Solve for x
    x = 5,031,632,356/45,904
  6. Step 6: Final answer
    x = 109,612.07

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.