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Finding the Third Proportional to 55,526.50 and 85,885

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Solution

The third proportional to 55,526.50 and 85,885 is: 132,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,526.50 : 85,885 = 85,885 : x
  2. Step 2: Convert to fraction form
    55,526.50/85,885 = 85,885/x
  3. Step 3: Cross multiply
    55,526.50x = 85,885 × 85,885
  4. Step 4: Simplify right side
    55,526.50x = 7,376,233,225
  5. Step 5: Solve for x
    x = 7,376,233,225/55,526.50
  6. Step 6: Final answer
    x = 132,841.67

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.