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Finding the Third Proportional to 59,127 and 91,806

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Solution

The third proportional to 59,127 and 91,806 is: 142,546.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,127 : 91,806 = 91,806 : x
  2. Step 2: Convert to fraction form
    59,127/91,806 = 91,806/x
  3. Step 3: Cross multiply
    59,127x = 91,806 × 91,806
  4. Step 4: Simplify right side
    59,127x = 8,428,341,636
  5. Step 5: Solve for x
    x = 8,428,341,636/59,127
  6. Step 6: Final answer
    x = 142,546.41

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