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Finding the Third Proportional to 92,950 and 140,297

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Solution

The third proportional to 92,950 and 140,297 is: 211,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,950 : 140,297 = 140,297 : x
  2. Step 2: Convert to fraction form
    92,950/140,297 = 140,297/x
  3. Step 3: Cross multiply
    92,950x = 140,297 × 140,297
  4. Step 4: Simplify right side
    92,950x = 19,683,248,209
  5. Step 5: Solve for x
    x = 19,683,248,209/92,950
  6. Step 6: Final answer
    x = 211,761.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.