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Finding the Third Proportional to 110,473 and 170,022

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Solution

The third proportional to 110,473 and 170,022 is: 261,670.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,473 : 170,022 = 170,022 : x
  2. Step 2: Convert to fraction form
    110,473/170,022 = 170,022/x
  3. Step 3: Cross multiply
    110,473x = 170,022 × 170,022
  4. Step 4: Simplify right side
    110,473x = 28,907,480,484
  5. Step 5: Solve for x
    x = 28,907,480,484/110,473
  6. Step 6: Final answer
    x = 261,670.10

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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.