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Finding the Third Proportional to 65,216.81 and 103,741.88

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Solution

The third proportional to 65,216.81 and 103,741.88 is: 165,024.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,216.81 : 103,741.88 = 103,741.88 : x
  2. Step 2: Convert to fraction form
    65,216.81/103,741.88 = 103,741.88/x
  3. Step 3: Cross multiply
    65,216.81x = 103,741.88 × 103,741.88
  4. Step 4: Simplify right side
    65,216.81x = 10,762,376,628.52
  5. Step 5: Solve for x
    x = 10,762,376,628.52/65,216.81
  6. Step 6: Final answer
    x = 165,024.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.