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Finding the Third Proportional to 45,713 and 99,970

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Solution

The third proportional to 45,713 and 99,970 is: 218,624.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,713 : 99,970 = 99,970 : x
  2. Step 2: Convert to fraction form
    45,713/99,970 = 99,970/x
  3. Step 3: Cross multiply
    45,713x = 99,970 × 99,970
  4. Step 4: Simplify right side
    45,713x = 9,994,000,900
  5. Step 5: Solve for x
    x = 9,994,000,900/45,713
  6. Step 6: Final answer
    x = 218,624.92

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.