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Finding the Third Proportional to 45,914 and 70,896

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Solution

The third proportional to 45,914 and 70,896 is: 109,470.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,914 : 70,896 = 70,896 : x
  2. Step 2: Convert to fraction form
    45,914/70,896 = 70,896/x
  3. Step 3: Cross multiply
    45,914x = 70,896 × 70,896
  4. Step 4: Simplify right side
    45,914x = 5,026,242,816
  5. Step 5: Solve for x
    x = 5,026,242,816/45,914
  6. Step 6: Final answer
    x = 109,470.81

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.