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Finding the Third Proportional to 42,969 and 93,107

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Solution

The third proportional to 42,969 and 93,107 is: 201,748.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,969 : 93,107 = 93,107 : x
  2. Step 2: Convert to fraction form
    42,969/93,107 = 93,107/x
  3. Step 3: Cross multiply
    42,969x = 93,107 × 93,107
  4. Step 4: Simplify right side
    42,969x = 8,668,913,449
  5. Step 5: Solve for x
    x = 8,668,913,449/42,969
  6. Step 6: Final answer
    x = 201,748.08

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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.