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Finding the Third Proportional to 60,692 and 133,047

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Solution

The third proportional to 60,692 and 133,047 is: 291,661.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,692 : 133,047 = 133,047 : x
  2. Step 2: Convert to fraction form
    60,692/133,047 = 133,047/x
  3. Step 3: Cross multiply
    60,692x = 133,047 × 133,047
  4. Step 4: Simplify right side
    60,692x = 17,701,504,209
  5. Step 5: Solve for x
    x = 17,701,504,209/60,692
  6. Step 6: Final answer
    x = 291,661.24

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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.