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Finding the Third Proportional to 90,500.63 and 119,008.13

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Solution

The third proportional to 90,500.63 and 119,008.13 is: 156,495.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,500.63 : 119,008.13 = 119,008.13 : x
  2. Step 2: Convert to fraction form
    90,500.63/119,008.13 = 119,008.13/x
  3. Step 3: Cross multiply
    90,500.63x = 119,008.13 × 119,008.13
  4. Step 4: Simplify right side
    90,500.63x = 14,162,933,816.02
  5. Step 5: Solve for x
    x = 14,162,933,816.02/90,500.63
  6. Step 6: Final answer
    x = 156,495.43

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.