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Finding the Third Proportional to 42,838 and 93,026

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Solution

The third proportional to 42,838 and 93,026 is: 202,013.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,838 : 93,026 = 93,026 : x
  2. Step 2: Convert to fraction form
    42,838/93,026 = 93,026/x
  3. Step 3: Cross multiply
    42,838x = 93,026 × 93,026
  4. Step 4: Simplify right side
    42,838x = 8,653,836,676
  5. Step 5: Solve for x
    x = 8,653,836,676/42,838
  6. Step 6: Final answer
    x = 202,013.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.