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Finding the Third Proportional to 124,824 and 187,044

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Solution

The third proportional to 124,824 and 187,044 is: 280,278.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,824 : 187,044 = 187,044 : x
  2. Step 2: Convert to fraction form
    124,824/187,044 = 187,044/x
  3. Step 3: Cross multiply
    124,824x = 187,044 × 187,044
  4. Step 4: Simplify right side
    124,824x = 34,985,457,936
  5. Step 5: Solve for x
    x = 34,985,457,936/124,824
  6. Step 6: Final answer
    x = 280,278.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.