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Finding the Third Proportional to 42,790 and 93,039

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Solution

The third proportional to 42,790 and 93,039 is: 202,296.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,790 : 93,039 = 93,039 : x
  2. Step 2: Convert to fraction form
    42,790/93,039 = 93,039/x
  3. Step 3: Cross multiply
    42,790x = 93,039 × 93,039
  4. Step 4: Simplify right side
    42,790x = 8,656,255,521
  5. Step 5: Solve for x
    x = 8,656,255,521/42,790
  6. Step 6: Final answer
    x = 202,296.23

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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.