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Finding the Third Proportional to 117,019.50 and 176,355

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Solution

The third proportional to 117,019.50 and 176,355 is: 265,776.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,019.50 : 176,355 = 176,355 : x
  2. Step 2: Convert to fraction form
    117,019.50/176,355 = 176,355/x
  3. Step 3: Cross multiply
    117,019.50x = 176,355 × 176,355
  4. Step 4: Simplify right side
    117,019.50x = 31,101,086,025
  5. Step 5: Solve for x
    x = 31,101,086,025/117,019.50
  6. Step 6: Final answer
    x = 265,776.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.