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Finding the Third Proportional to 45,828 and 72,702

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Solution

The third proportional to 45,828 and 72,702 is: 115,335.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,828 : 72,702 = 72,702 : x
  2. Step 2: Convert to fraction form
    45,828/72,702 = 72,702/x
  3. Step 3: Cross multiply
    45,828x = 72,702 × 72,702
  4. Step 4: Simplify right side
    45,828x = 5,285,580,804
  5. Step 5: Solve for x
    x = 5,285,580,804/45,828
  6. Step 6: Final answer
    x = 115,335.18

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.