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Finding the Third Proportional to 60,316 and 132,662

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Solution

The third proportional to 60,316 and 132,662 is: 291,783.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,316 : 132,662 = 132,662 : x
  2. Step 2: Convert to fraction form
    60,316/132,662 = 132,662/x
  3. Step 3: Cross multiply
    60,316x = 132,662 × 132,662
  4. Step 4: Simplify right side
    60,316x = 17,599,206,244
  5. Step 5: Solve for x
    x = 17,599,206,244/60,316
  6. Step 6: Final answer
    x = 291,783.38

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.