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Finding the Third Proportional to 60,467.50 and 141,201

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Solution

The third proportional to 60,467.50 and 141,201 is: 329,726.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,467.50 : 141,201 = 141,201 : x
  2. Step 2: Convert to fraction form
    60,467.50/141,201 = 141,201/x
  3. Step 3: Cross multiply
    60,467.50x = 141,201 × 141,201
  4. Step 4: Simplify right side
    60,467.50x = 19,937,722,401
  5. Step 5: Solve for x
    x = 19,937,722,401/60,467.50
  6. Step 6: Final answer
    x = 329,726.26

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.