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Finding the Third Proportional to 110,922 and 170,502

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Solution

The third proportional to 110,922 and 170,502 is: 262,084.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,922 : 170,502 = 170,502 : x
  2. Step 2: Convert to fraction form
    110,922/170,502 = 170,502/x
  3. Step 3: Cross multiply
    110,922x = 170,502 × 170,502
  4. Step 4: Simplify right side
    110,922x = 29,070,932,004
  5. Step 5: Solve for x
    x = 29,070,932,004/110,922
  6. Step 6: Final answer
    x = 262,084.46

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