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Finding the Third Proportional to 52,012 and 78,486

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Solution

The third proportional to 52,012 and 78,486 is: 118,435.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,012 : 78,486 = 78,486 : x
  2. Step 2: Convert to fraction form
    52,012/78,486 = 78,486/x
  3. Step 3: Cross multiply
    52,012x = 78,486 × 78,486
  4. Step 4: Simplify right side
    52,012x = 6,160,052,196
  5. Step 5: Solve for x
    x = 6,160,052,196/52,012
  6. Step 6: Final answer
    x = 118,435.21

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.