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Finding the Third Proportional to 78,471.50 and 169,518

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Solution

The third proportional to 78,471.50 and 169,518 is: 366,201.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,471.50 : 169,518 = 169,518 : x
  2. Step 2: Convert to fraction form
    78,471.50/169,518 = 169,518/x
  3. Step 3: Cross multiply
    78,471.50x = 169,518 × 169,518
  4. Step 4: Simplify right side
    78,471.50x = 28,736,352,324
  5. Step 5: Solve for x
    x = 28,736,352,324/78,471.50
  6. Step 6: Final answer
    x = 366,201.13

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.