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Finding the Third Proportional to 59,796 and 125,787

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Solution

The third proportional to 59,796 and 125,787 is: 264,605.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,796 : 125,787 = 125,787 : x
  2. Step 2: Convert to fraction form
    59,796/125,787 = 125,787/x
  3. Step 3: Cross multiply
    59,796x = 125,787 × 125,787
  4. Step 4: Simplify right side
    59,796x = 15,822,369,369
  5. Step 5: Solve for x
    x = 15,822,369,369/59,796
  6. Step 6: Final answer
    x = 264,605.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.