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Finding the Third Proportional to 52,257 and 78,263

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Solution

The third proportional to 52,257 and 78,263 is: 117,211.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,257 : 78,263 = 78,263 : x
  2. Step 2: Convert to fraction form
    52,257/78,263 = 78,263/x
  3. Step 3: Cross multiply
    52,257x = 78,263 × 78,263
  4. Step 4: Simplify right side
    52,257x = 6,125,097,169
  5. Step 5: Solve for x
    x = 6,125,097,169/52,257
  6. Step 6: Final answer
    x = 117,211.04

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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.