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Finding the Third Proportional to 123,048 and 161,574

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Solution

The third proportional to 123,048 and 161,574 is: 212,162.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,048 : 161,574 = 161,574 : x
  2. Step 2: Convert to fraction form
    123,048/161,574 = 161,574/x
  3. Step 3: Cross multiply
    123,048x = 161,574 × 161,574
  4. Step 4: Simplify right side
    123,048x = 26,106,157,476
  5. Step 5: Solve for x
    x = 26,106,157,476/123,048
  6. Step 6: Final answer
    x = 212,162.39

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.