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Finding the Third Proportional to 110,875 and 170,656

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Solution

The third proportional to 110,875 and 170,656 is: 262,669.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,875 : 170,656 = 170,656 : x
  2. Step 2: Convert to fraction form
    110,875/170,656 = 170,656/x
  3. Step 3: Cross multiply
    110,875x = 170,656 × 170,656
  4. Step 4: Simplify right side
    110,875x = 29,123,470,336
  5. Step 5: Solve for x
    x = 29,123,470,336/110,875
  6. Step 6: Final answer
    x = 262,669.41

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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.