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Finding the Third Proportional to 60,952 and 133,296

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Solution

The third proportional to 60,952 and 133,296 is: 291,505.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,952 : 133,296 = 133,296 : x
  2. Step 2: Convert to fraction form
    60,952/133,296 = 133,296/x
  3. Step 3: Cross multiply
    60,952x = 133,296 × 133,296
  4. Step 4: Simplify right side
    60,952x = 17,767,823,616
  5. Step 5: Solve for x
    x = 17,767,823,616/60,952
  6. Step 6: Final answer
    x = 291,505.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.