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Finding the Third Proportional to 67,801.27 and 147,656.67

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Solution

The third proportional to 67,801.27 and 147,656.67 is: 321,564.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,801.27 : 147,656.67 = 147,656.67 : x
  2. Step 2: Convert to fraction form
    67,801.27/147,656.67 = 147,656.67/x
  3. Step 3: Cross multiply
    67,801.27x = 147,656.67 × 147,656.67
  4. Step 4: Simplify right side
    67,801.27x = 21,802,492,749.20
  5. Step 5: Solve for x
    x = 21,802,492,749.20/67,801.27
  6. Step 6: Final answer
    x = 321,564.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.