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Finding the Third Proportional to 59,127 and 124,914

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Solution

The third proportional to 59,127 and 124,914 is: 263,898.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,127 : 124,914 = 124,914 : x
  2. Step 2: Convert to fraction form
    59,127/124,914 = 124,914/x
  3. Step 3: Cross multiply
    59,127x = 124,914 × 124,914
  4. Step 4: Simplify right side
    59,127x = 15,603,507,396
  5. Step 5: Solve for x
    x = 15,603,507,396/59,127
  6. Step 6: Final answer
    x = 263,898.18

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.