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Finding the Third Proportional to 67,118.63 and 144,746.16

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Solution

The third proportional to 67,118.63 and 144,746.16 is: 312,155.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,118.63 : 144,746.16 = 144,746.16 : x
  2. Step 2: Convert to fraction form
    67,118.63/144,746.16 = 144,746.16/x
  3. Step 3: Cross multiply
    67,118.63x = 144,746.16 × 144,746.16
  4. Step 4: Simplify right side
    67,118.63x = 20,951,449,749.15
  5. Step 5: Solve for x
    x = 20,951,449,749.15/67,118.63
  6. Step 6: Final answer
    x = 312,155.53

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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.