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Finding the Third Proportional to 82,848 and 131,248

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Solution

The third proportional to 82,848 and 131,248 is: 207,923.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,848 : 131,248 = 131,248 : x
  2. Step 2: Convert to fraction form
    82,848/131,248 = 131,248/x
  3. Step 3: Cross multiply
    82,848x = 131,248 × 131,248
  4. Step 4: Simplify right side
    82,848x = 17,226,037,504
  5. Step 5: Solve for x
    x = 17,226,037,504/82,848
  6. Step 6: Final answer
    x = 207,923.40

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.