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Finding the Third Proportional to 70,586 and 112,359

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Solution

The third proportional to 70,586 and 112,359 is: 178,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,586 : 112,359 = 112,359 : x
  2. Step 2: Convert to fraction form
    70,586/112,359 = 112,359/x
  3. Step 3: Cross multiply
    70,586x = 112,359 × 112,359
  4. Step 4: Simplify right side
    70,586x = 12,624,544,881
  5. Step 5: Solve for x
    x = 12,624,544,881/70,586
  6. Step 6: Final answer
    x = 178,853.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.