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Finding the Third Proportional to 52,673.50 and 114,815

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Solution

The third proportional to 52,673.50 and 114,815 is: 250,267.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,673.50 : 114,815 = 114,815 : x
  2. Step 2: Convert to fraction form
    52,673.50/114,815 = 114,815/x
  3. Step 3: Cross multiply
    52,673.50x = 114,815 × 114,815
  4. Step 4: Simplify right side
    52,673.50x = 13,182,484,225
  5. Step 5: Solve for x
    x = 13,182,484,225/52,673.50
  6. Step 6: Final answer
    x = 250,267.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.