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Finding the Third Proportional to 121,496.63 and 171,018

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Solution

The third proportional to 121,496.63 and 171,018 is: 240,724.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,496.63 : 171,018 = 171,018 : x
  2. Step 2: Convert to fraction form
    121,496.63/171,018 = 171,018/x
  3. Step 3: Cross multiply
    121,496.63x = 171,018 × 171,018
  4. Step 4: Simplify right side
    121,496.63x = 29,247,156,324
  5. Step 5: Solve for x
    x = 29,247,156,324/121,496.63
  6. Step 6: Final answer
    x = 240,724.02

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.