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Finding the Third Proportional to 90,031.50 and 119,488.50

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Solution

The third proportional to 90,031.50 and 119,488.50 is: 158,583.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,031.50 : 119,488.50 = 119,488.50 : x
  2. Step 2: Convert to fraction form
    90,031.50/119,488.50 = 119,488.50/x
  3. Step 3: Cross multiply
    90,031.50x = 119,488.50 × 119,488.50
  4. Step 4: Simplify right side
    90,031.50x = 14,277,501,632.25
  5. Step 5: Solve for x
    x = 14,277,501,632.25/90,031.50
  6. Step 6: Final answer
    x = 158,583.40

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.