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Finding the Third Proportional to 71,070 and 109,520

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Solution

The third proportional to 71,070 and 109,520 is: 168,772.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,070 : 109,520 = 109,520 : x
  2. Step 2: Convert to fraction form
    71,070/109,520 = 109,520/x
  3. Step 3: Cross multiply
    71,070x = 109,520 × 109,520
  4. Step 4: Simplify right side
    71,070x = 11,994,630,400
  5. Step 5: Solve for x
    x = 11,994,630,400/71,070
  6. Step 6: Final answer
    x = 168,772.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.