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Finding the Third Proportional to 65,599.88 and 140,531.63

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Solution

The third proportional to 65,599.88 and 140,531.63 is: 301,054.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,599.88 : 140,531.63 = 140,531.63 : x
  2. Step 2: Convert to fraction form
    65,599.88/140,531.63 = 140,531.63/x
  3. Step 3: Cross multiply
    65,599.88x = 140,531.63 × 140,531.63
  4. Step 4: Simplify right side
    65,599.88x = 19,749,137,625.14
  5. Step 5: Solve for x
    x = 19,749,137,625.14/65,599.88
  6. Step 6: Final answer
    x = 301,054.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.