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Finding the Third Proportional to 90,031.50 and 108,013.50

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Solution

The third proportional to 90,031.50 and 108,013.50 is: 129,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,031.50 : 108,013.50 = 108,013.50 : x
  2. Step 2: Convert to fraction form
    90,031.50/108,013.50 = 108,013.50/x
  3. Step 3: Cross multiply
    90,031.50x = 108,013.50 × 108,013.50
  4. Step 4: Simplify right side
    90,031.50x = 11,666,916,182.25
  5. Step 5: Solve for x
    x = 11,666,916,182.25/90,031.50
  6. Step 6: Final answer
    x = 129,587.05

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These problems maintain the same ratio (1.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.