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Finding the Third Proportional to 52,527 and 78,828

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Solution

The third proportional to 52,527 and 78,828 is: 118,298.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,527 : 78,828 = 78,828 : x
  2. Step 2: Convert to fraction form
    52,527/78,828 = 78,828/x
  3. Step 3: Cross multiply
    52,527x = 78,828 × 78,828
  4. Step 4: Simplify right side
    52,527x = 6,213,853,584
  5. Step 5: Solve for x
    x = 6,213,853,584/52,527
  6. Step 6: Final answer
    x = 118,298.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.