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Finding the Third Proportional to 42,927 and 93,918

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Solution

The third proportional to 42,927 and 93,918 is: 205,478.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,927 : 93,918 = 93,918 : x
  2. Step 2: Convert to fraction form
    42,927/93,918 = 93,918/x
  3. Step 3: Cross multiply
    42,927x = 93,918 × 93,918
  4. Step 4: Simplify right side
    42,927x = 8,820,590,724
  5. Step 5: Solve for x
    x = 8,820,590,724/42,927
  6. Step 6: Final answer
    x = 205,478.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.