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Finding the Third Proportional to 65,854.50 and 142,238.63

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Solution

The third proportional to 65,854.50 and 142,238.63 is: 307,220.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,854.50 : 142,238.63 = 142,238.63 : x
  2. Step 2: Convert to fraction form
    65,854.50/142,238.63 = 142,238.63/x
  3. Step 3: Cross multiply
    65,854.50x = 142,238.63 × 142,238.63
  4. Step 4: Simplify right side
    65,854.50x = 20,231,826,441.89
  5. Step 5: Solve for x
    x = 20,231,826,441.89/65,854.50
  6. Step 6: Final answer
    x = 307,220.11

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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.