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Finding the Third Proportional to 42,738 and 94,053

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Solution

The third proportional to 42,738 and 94,053 is: 206,981.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,738 : 94,053 = 94,053 : x
  2. Step 2: Convert to fraction form
    42,738/94,053 = 94,053/x
  3. Step 3: Cross multiply
    42,738x = 94,053 × 94,053
  4. Step 4: Simplify right side
    42,738x = 8,845,966,809
  5. Step 5: Solve for x
    x = 8,845,966,809/42,738
  6. Step 6: Final answer
    x = 206,981.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.