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Finding the Third Proportional to 86,566 and 134,358

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Solution

The third proportional to 86,566 and 134,358 is: 208,535.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,566 : 134,358 = 134,358 : x
  2. Step 2: Convert to fraction form
    86,566/134,358 = 134,358/x
  3. Step 3: Cross multiply
    86,566x = 134,358 × 134,358
  4. Step 4: Simplify right side
    86,566x = 18,052,072,164
  5. Step 5: Solve for x
    x = 18,052,072,164/86,566
  6. Step 6: Final answer
    x = 208,535.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.