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Finding the Third Proportional to 75,973 and 117,942

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Solution

The third proportional to 75,973 and 117,942 is: 183,095.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,973 : 117,942 = 117,942 : x
  2. Step 2: Convert to fraction form
    75,973/117,942 = 117,942/x
  3. Step 3: Cross multiply
    75,973x = 117,942 × 117,942
  4. Step 4: Simplify right side
    75,973x = 13,910,315,364
  5. Step 5: Solve for x
    x = 13,910,315,364/75,973
  6. Step 6: Final answer
    x = 183,095.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.