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Finding the Third Proportional to 88,053 and 171,694

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Solution

The third proportional to 88,053 and 171,694 is: 334,785.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,053 : 171,694 = 171,694 : x
  2. Step 2: Convert to fraction form
    88,053/171,694 = 171,694/x
  3. Step 3: Cross multiply
    88,053x = 171,694 × 171,694
  4. Step 4: Simplify right side
    88,053x = 29,478,829,636
  5. Step 5: Solve for x
    x = 29,478,829,636/88,053
  6. Step 6: Final answer
    x = 334,785.07

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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.