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Finding the Third Proportional to 95,894 and 150,429

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Solution

The third proportional to 95,894 and 150,429 is: 235,978.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,894 : 150,429 = 150,429 : x
  2. Step 2: Convert to fraction form
    95,894/150,429 = 150,429/x
  3. Step 3: Cross multiply
    95,894x = 150,429 × 150,429
  4. Step 4: Simplify right side
    95,894x = 22,628,884,041
  5. Step 5: Solve for x
    x = 22,628,884,041/95,894
  6. Step 6: Final answer
    x = 235,978.10

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.