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Finding the Third Proportional to 90,434 and 143,308

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Solution

The third proportional to 90,434 and 143,308 is: 227,095.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,434 : 143,308 = 143,308 : x
  2. Step 2: Convert to fraction form
    90,434/143,308 = 143,308/x
  3. Step 3: Cross multiply
    90,434x = 143,308 × 143,308
  4. Step 4: Simplify right side
    90,434x = 20,537,182,864
  5. Step 5: Solve for x
    x = 20,537,182,864/90,434
  6. Step 6: Final answer
    x = 227,095.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.