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Finding the Third Proportional to 90,751.50 and 129,321

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Solution

The third proportional to 90,751.50 and 129,321 is: 184,282.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,751.50 : 129,321 = 129,321 : x
  2. Step 2: Convert to fraction form
    90,751.50/129,321 = 129,321/x
  3. Step 3: Cross multiply
    90,751.50x = 129,321 × 129,321
  4. Step 4: Simplify right side
    90,751.50x = 16,723,921,041
  5. Step 5: Solve for x
    x = 16,723,921,041/90,751.50
  6. Step 6: Final answer
    x = 184,282.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.