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Finding the Third Proportional to 59,713 and 125,905

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Solution

The third proportional to 59,713 and 125,905 is: 265,470.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,713 : 125,905 = 125,905 : x
  2. Step 2: Convert to fraction form
    59,713/125,905 = 125,905/x
  3. Step 3: Cross multiply
    59,713x = 125,905 × 125,905
  4. Step 4: Simplify right side
    59,713x = 15,852,069,025
  5. Step 5: Solve for x
    x = 15,852,069,025/59,713
  6. Step 6: Final answer
    x = 265,470.99

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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.