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Finding the Third Proportional to 42,733 and 91,297

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Solution

The third proportional to 42,733 and 91,297 is: 195,051.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,733 : 91,297 = 91,297 : x
  2. Step 2: Convert to fraction form
    42,733/91,297 = 91,297/x
  3. Step 3: Cross multiply
    42,733x = 91,297 × 91,297
  4. Step 4: Simplify right side
    42,733x = 8,335,142,209
  5. Step 5: Solve for x
    x = 8,335,142,209/42,733
  6. Step 6: Final answer
    x = 195,051.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.