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Finding the Third Proportional to 95,184 and 141,666

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Solution

The third proportional to 95,184 and 141,666 is: 210,846.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,184 : 141,666 = 141,666 : x
  2. Step 2: Convert to fraction form
    95,184/141,666 = 141,666/x
  3. Step 3: Cross multiply
    95,184x = 141,666 × 141,666
  4. Step 4: Simplify right side
    95,184x = 20,069,255,556
  5. Step 5: Solve for x
    x = 20,069,255,556/95,184
  6. Step 6: Final answer
    x = 210,846.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.