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Finding the Third Proportional to 125,955 and 275,022

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Solution

The third proportional to 125,955 and 275,022 is: 600,508.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,955 : 275,022 = 275,022 : x
  2. Step 2: Convert to fraction form
    125,955/275,022 = 275,022/x
  3. Step 3: Cross multiply
    125,955x = 275,022 × 275,022
  4. Step 4: Simplify right side
    125,955x = 75,637,100,484
  5. Step 5: Solve for x
    x = 75,637,100,484/125,955
  6. Step 6: Final answer
    x = 600,508.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.