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Finding the Third Proportional to 88,052 and 171,692

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Solution

The third proportional to 88,052 and 171,692 is: 334,781.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,052 : 171,692 = 171,692 : x
  2. Step 2: Convert to fraction form
    88,052/171,692 = 171,692/x
  3. Step 3: Cross multiply
    88,052x = 171,692 × 171,692
  4. Step 4: Simplify right side
    88,052x = 29,478,142,864
  5. Step 5: Solve for x
    x = 29,478,142,864/88,052
  6. Step 6: Final answer
    x = 334,781.07

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.