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Finding the Third Proportional to 58,676 and 88,295

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Solution

The third proportional to 58,676 and 88,295 is: 132,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,676 : 88,295 = 88,295 : x
  2. Step 2: Convert to fraction form
    58,676/88,295 = 88,295/x
  3. Step 3: Cross multiply
    58,676x = 88,295 × 88,295
  4. Step 4: Simplify right side
    58,676x = 7,796,007,025
  5. Step 5: Solve for x
    x = 7,796,007,025/58,676
  6. Step 6: Final answer
    x = 132,865.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.