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Finding the Third Proportional to 88,278 and 113,347

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Solution

The third proportional to 88,278 and 113,347 is: 145,535.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,278 : 113,347 = 113,347 : x
  2. Step 2: Convert to fraction form
    88,278/113,347 = 113,347/x
  3. Step 3: Cross multiply
    88,278x = 113,347 × 113,347
  4. Step 4: Simplify right side
    88,278x = 12,847,542,409
  5. Step 5: Solve for x
    x = 12,847,542,409/88,278
  6. Step 6: Final answer
    x = 145,535.04

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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.