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Finding the Third Proportional to 88,264 and 134,705

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Solution

The third proportional to 88,264 and 134,705 is: 205,581.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,264 : 134,705 = 134,705 : x
  2. Step 2: Convert to fraction form
    88,264/134,705 = 134,705/x
  3. Step 3: Cross multiply
    88,264x = 134,705 × 134,705
  4. Step 4: Simplify right side
    88,264x = 18,145,437,025
  5. Step 5: Solve for x
    x = 18,145,437,025/88,264
  6. Step 6: Final answer
    x = 205,581.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.