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Finding the Third Proportional to 88,034 and 171,658

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Solution

The third proportional to 88,034 and 171,658 is: 334,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,034 : 171,658 = 171,658 : x
  2. Step 2: Convert to fraction form
    88,034/171,658 = 171,658/x
  3. Step 3: Cross multiply
    88,034x = 171,658 × 171,658
  4. Step 4: Simplify right side
    88,034x = 29,466,468,964
  5. Step 5: Solve for x
    x = 29,466,468,964/88,034
  6. Step 6: Final answer
    x = 334,716.92

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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.