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Finding the Third Proportional to 52,513.88 and 80,717.63

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Solution

The third proportional to 52,513.88 and 80,717.63 is: 124,068.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,513.88 : 80,717.63 = 80,717.63 : x
  2. Step 2: Convert to fraction form
    52,513.88/80,717.63 = 80,717.63/x
  3. Step 3: Cross multiply
    52,513.88x = 80,717.63 × 80,717.63
  4. Step 4: Simplify right side
    52,513.88x = 6,515,334,985.64
  5. Step 5: Solve for x
    x = 6,515,334,985.64/52,513.88
  6. Step 6: Final answer
    x = 124,068.83

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.