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Finding the Third Proportional to 52,255 and 78,260

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Solution

The third proportional to 52,255 and 78,260 is: 117,206.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,255 : 78,260 = 78,260 : x
  2. Step 2: Convert to fraction form
    52,255/78,260 = 78,260/x
  3. Step 3: Cross multiply
    52,255x = 78,260 × 78,260
  4. Step 4: Simplify right side
    52,255x = 6,124,627,600
  5. Step 5: Solve for x
    x = 6,124,627,600/52,255
  6. Step 6: Final answer
    x = 117,206.54

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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.