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Finding the Third Proportional to 95,666 and 149,313

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Solution

The third proportional to 95,666 and 149,313 is: 233,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,666 : 149,313 = 149,313 : x
  2. Step 2: Convert to fraction form
    95,666/149,313 = 149,313/x
  3. Step 3: Cross multiply
    95,666x = 149,313 × 149,313
  4. Step 4: Simplify right side
    95,666x = 22,294,371,969
  5. Step 5: Solve for x
    x = 22,294,371,969/95,666
  6. Step 6: Final answer
    x = 233,043.84

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.