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Finding the Third Proportional to 77,954 and 125,545

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Solution

The third proportional to 77,954 and 125,545 is: 202,190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,954 : 125,545 = 125,545 : x
  2. Step 2: Convert to fraction form
    77,954/125,545 = 125,545/x
  3. Step 3: Cross multiply
    77,954x = 125,545 × 125,545
  4. Step 4: Simplify right side
    77,954x = 15,761,547,025
  5. Step 5: Solve for x
    x = 15,761,547,025/77,954
  6. Step 6: Final answer
    x = 202,190.36

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.