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Finding the Third Proportional to 86,414 and 141,106

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Solution

The third proportional to 86,414 and 141,106 is: 230,412.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,414 : 141,106 = 141,106 : x
  2. Step 2: Convert to fraction form
    86,414/141,106 = 141,106/x
  3. Step 3: Cross multiply
    86,414x = 141,106 × 141,106
  4. Step 4: Simplify right side
    86,414x = 19,910,903,236
  5. Step 5: Solve for x
    x = 19,910,903,236/86,414
  6. Step 6: Final answer
    x = 230,412.93

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.