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Finding the Third Proportional to 42,939 and 93,654

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Solution

The third proportional to 42,939 and 93,654 is: 204,268.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,939 : 93,654 = 93,654 : x
  2. Step 2: Convert to fraction form
    42,939/93,654 = 93,654/x
  3. Step 3: Cross multiply
    42,939x = 93,654 × 93,654
  4. Step 4: Simplify right side
    42,939x = 8,771,071,716
  5. Step 5: Solve for x
    x = 8,771,071,716/42,939
  6. Step 6: Final answer
    x = 204,268.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.