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Finding the Third Proportional to 65,175.19 and 98,682.19

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Solution

The third proportional to 65,175.19 and 98,682.19 is: 149,415.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,175.19 : 98,682.19 = 98,682.19 : x
  2. Step 2: Convert to fraction form
    65,175.19/98,682.19 = 98,682.19/x
  3. Step 3: Cross multiply
    65,175.19x = 98,682.19 × 98,682.19
  4. Step 4: Simplify right side
    65,175.19x = 9,738,174,129.79
  5. Step 5: Solve for x
    x = 9,738,174,129.79/65,175.19
  6. Step 6: Final answer
    x = 149,415.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.