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Finding the Third Proportional to 65,314.13 and 97,717.69

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Solution

The third proportional to 65,314.13 and 97,717.69 is: 146,197.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,314.13 : 97,717.69 = 97,717.69 : x
  2. Step 2: Convert to fraction form
    65,314.13/97,717.69 = 97,717.69/x
  3. Step 3: Cross multiply
    65,314.13x = 97,717.69 × 97,717.69
  4. Step 4: Simplify right side
    65,314.13x = 9,548,746,450.35
  5. Step 5: Solve for x
    x = 9,548,746,450.35/65,314.13
  6. Step 6: Final answer
    x = 146,197.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.