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Finding the Third Proportional to 57,523.50 and 88,295.06

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Solution

The third proportional to 57,523.50 and 88,295.06 is: 135,527.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,523.50 : 88,295.06 = 88,295.06 : x
  2. Step 2: Convert to fraction form
    57,523.50/88,295.06 = 88,295.06/x
  3. Step 3: Cross multiply
    57,523.50x = 88,295.06 × 88,295.06
  4. Step 4: Simplify right side
    57,523.50x = 7,796,018,061.88
  5. Step 5: Solve for x
    x = 7,796,018,061.88/57,523.50
  6. Step 6: Final answer
    x = 135,527.53

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.