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Finding the Third Proportional to 95,574 and 133,707

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Solution

The third proportional to 95,574 and 133,707 is: 187,054.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,574 : 133,707 = 133,707 : x
  2. Step 2: Convert to fraction form
    95,574/133,707 = 133,707/x
  3. Step 3: Cross multiply
    95,574x = 133,707 × 133,707
  4. Step 4: Simplify right side
    95,574x = 17,877,561,849
  5. Step 5: Solve for x
    x = 17,877,561,849/95,574
  6. Step 6: Final answer
    x = 187,054.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.