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Finding the Third Proportional to 59,106 and 89,751

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Solution

The third proportional to 59,106 and 89,751 is: 136,284.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,106 : 89,751 = 89,751 : x
  2. Step 2: Convert to fraction form
    59,106/89,751 = 89,751/x
  3. Step 3: Cross multiply
    59,106x = 89,751 × 89,751
  4. Step 4: Simplify right side
    59,106x = 8,055,242,001
  5. Step 5: Solve for x
    x = 8,055,242,001/59,106
  6. Step 6: Final answer
    x = 136,284.68

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.