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Finding the Third Proportional to 45,747 and 70,898

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Solution

The third proportional to 45,747 and 70,898 is: 109,876.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,747 : 70,898 = 70,898 : x
  2. Step 2: Convert to fraction form
    45,747/70,898 = 70,898/x
  3. Step 3: Cross multiply
    45,747x = 70,898 × 70,898
  4. Step 4: Simplify right side
    45,747x = 5,026,526,404
  5. Step 5: Solve for x
    x = 5,026,526,404/45,747
  6. Step 6: Final answer
    x = 109,876.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.