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Finding the Third Proportional to 52,261 and 78,509

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Solution

The third proportional to 52,261 and 78,509 is: 117,940.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,261 : 78,509 = 78,509 : x
  2. Step 2: Convert to fraction form
    52,261/78,509 = 78,509/x
  3. Step 3: Cross multiply
    52,261x = 78,509 × 78,509
  4. Step 4: Simplify right side
    52,261x = 6,163,663,081
  5. Step 5: Solve for x
    x = 6,163,663,081/52,261
  6. Step 6: Final answer
    x = 117,940.01

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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.