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Finding the Third Proportional to 88,276 and 113,344

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Solution

The third proportional to 88,276 and 113,344 is: 145,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,276 : 113,344 = 113,344 : x
  2. Step 2: Convert to fraction form
    88,276/113,344 = 113,344/x
  3. Step 3: Cross multiply
    88,276x = 113,344 × 113,344
  4. Step 4: Simplify right side
    88,276x = 12,846,862,336
  5. Step 5: Solve for x
    x = 12,846,862,336/88,276
  6. Step 6: Final answer
    x = 145,530.64

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.