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Finding the Third Proportional to 59,908 and 91,770

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Solution

The third proportional to 59,908 and 91,770 is: 140,577.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,908 : 91,770 = 91,770 : x
  2. Step 2: Convert to fraction form
    59,908/91,770 = 91,770/x
  3. Step 3: Cross multiply
    59,908x = 91,770 × 91,770
  4. Step 4: Simplify right side
    59,908x = 8,421,732,900
  5. Step 5: Solve for x
    x = 8,421,732,900/59,908
  6. Step 6: Final answer
    x = 140,577.77

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.