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Finding the Third Proportional to 48,527.50 and 106,829

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Solution

The third proportional to 48,527.50 and 106,829 is: 235,174.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,527.50 : 106,829 = 106,829 : x
  2. Step 2: Convert to fraction form
    48,527.50/106,829 = 106,829/x
  3. Step 3: Cross multiply
    48,527.50x = 106,829 × 106,829
  4. Step 4: Simplify right side
    48,527.50x = 11,412,435,241
  5. Step 5: Solve for x
    x = 11,412,435,241/48,527.50
  6. Step 6: Final answer
    x = 235,174.60

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.