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Finding the Third Proportional to 86,306 and 116,606

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Solution

The third proportional to 86,306 and 116,606 is: 157,543.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,306 : 116,606 = 116,606 : x
  2. Step 2: Convert to fraction form
    86,306/116,606 = 116,606/x
  3. Step 3: Cross multiply
    86,306x = 116,606 × 116,606
  4. Step 4: Simplify right side
    86,306x = 13,596,959,236
  5. Step 5: Solve for x
    x = 13,596,959,236/86,306
  6. Step 6: Final answer
    x = 157,543.61

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.