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Finding the Third Proportional to 59,309 and 91,733.75

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Solution

The third proportional to 59,309 and 91,733.75 is: 141,885.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,309 : 91,733.75 = 91,733.75 : x
  2. Step 2: Convert to fraction form
    59,309/91,733.75 = 91,733.75/x
  3. Step 3: Cross multiply
    59,309x = 91,733.75 × 91,733.75
  4. Step 4: Simplify right side
    59,309x = 8,415,080,889.06
  5. Step 5: Solve for x
    x = 8,415,080,889.06/59,309
  6. Step 6: Final answer
    x = 141,885.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.