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Finding the Third Proportional to 73,044 and 110,924

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Solution

The third proportional to 73,044 and 110,924 is: 168,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,044 : 110,924 = 110,924 : x
  2. Step 2: Convert to fraction form
    73,044/110,924 = 110,924/x
  3. Step 3: Cross multiply
    73,044x = 110,924 × 110,924
  4. Step 4: Simplify right side
    73,044x = 12,304,133,776
  5. Step 5: Solve for x
    x = 12,304,133,776/73,044
  6. Step 6: Final answer
    x = 168,448.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.