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Finding the Third Proportional to 67,981.22 and 145,800.56

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Solution

The third proportional to 67,981.22 and 145,800.56 is: 312,701.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,981.22 : 145,800.56 = 145,800.56 : x
  2. Step 2: Convert to fraction form
    67,981.22/145,800.56 = 145,800.56/x
  3. Step 3: Cross multiply
    67,981.22x = 145,800.56 × 145,800.56
  4. Step 4: Simplify right side
    67,981.22x = 21,257,804,025.32
  5. Step 5: Solve for x
    x = 21,257,804,025.32/67,981.22
  6. Step 6: Final answer
    x = 312,701.13

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.