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Finding the Third Proportional to 65,701.13 and 71,168.63

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Solution

The third proportional to 65,701.13 and 71,168.63 is: 77,091.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,701.13 : 71,168.63 = 71,168.63 : x
  2. Step 2: Convert to fraction form
    65,701.13/71,168.63 = 71,168.63/x
  3. Step 3: Cross multiply
    65,701.13x = 71,168.63 × 71,168.63
  4. Step 4: Simplify right side
    65,701.13x = 5,064,973,184.39
  5. Step 5: Solve for x
    x = 5,064,973,184.39/65,701.13
  6. Step 6: Final answer
    x = 77,091.12

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.