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Finding the Third Proportional to 95,893 and 150,428

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Solution

The third proportional to 95,893 and 150,428 is: 235,977.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,893 : 150,428 = 150,428 : x
  2. Step 2: Convert to fraction form
    95,893/150,428 = 150,428/x
  3. Step 3: Cross multiply
    95,893x = 150,428 × 150,428
  4. Step 4: Simplify right side
    95,893x = 22,628,583,184
  5. Step 5: Solve for x
    x = 22,628,583,184/95,893
  6. Step 6: Final answer
    x = 235,977.42

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Why These Related Problems?

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