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Finding the Third Proportional to 90,031.50 and 97,002.56

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Solution

The third proportional to 90,031.50 and 97,002.56 is: 104,513.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,031.50 : 97,002.56 = 97,002.56 : x
  2. Step 2: Convert to fraction form
    90,031.50/97,002.56 = 97,002.56/x
  3. Step 3: Cross multiply
    90,031.50x = 97,002.56 × 97,002.56
  4. Step 4: Simplify right side
    90,031.50x = 9,409,497,131.57
  5. Step 5: Solve for x
    x = 9,409,497,131.57/90,031.50
  6. Step 6: Final answer
    x = 104,513.39

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.