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Finding the Third Proportional to 62,567.50 and 134,977

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Solution

The third proportional to 62,567.50 and 134,977 is: 291,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,567.50 : 134,977 = 134,977 : x
  2. Step 2: Convert to fraction form
    62,567.50/134,977 = 134,977/x
  3. Step 3: Cross multiply
    62,567.50x = 134,977 × 134,977
  4. Step 4: Simplify right side
    62,567.50x = 18,218,790,529
  5. Step 5: Solve for x
    x = 18,218,790,529/62,567.50
  6. Step 6: Final answer
    x = 291,186.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.