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Finding the Third Proportional to 123,044 and 175,952

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Solution

The third proportional to 123,044 and 175,952 is: 251,610.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,044 : 175,952 = 175,952 : x
  2. Step 2: Convert to fraction form
    123,044/175,952 = 175,952/x
  3. Step 3: Cross multiply
    123,044x = 175,952 × 175,952
  4. Step 4: Simplify right side
    123,044x = 30,959,106,304
  5. Step 5: Solve for x
    x = 30,959,106,304/123,044
  6. Step 6: Final answer
    x = 251,610.04

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.