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Finding the Third Proportional to 71,752 and 110,656

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Solution

The third proportional to 71,752 and 110,656 is: 170,653.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,752 : 110,656 = 110,656 : x
  2. Step 2: Convert to fraction form
    71,752/110,656 = 110,656/x
  3. Step 3: Cross multiply
    71,752x = 110,656 × 110,656
  4. Step 4: Simplify right side
    71,752x = 12,244,750,336
  5. Step 5: Solve for x
    x = 12,244,750,336/71,752
  6. Step 6: Final answer
    x = 170,653.78

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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.