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Finding the Third Proportional to 55,706 and 86,947

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Solution

The third proportional to 55,706 and 86,947 is: 135,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,706 : 86,947 = 86,947 : x
  2. Step 2: Convert to fraction form
    55,706/86,947 = 86,947/x
  3. Step 3: Cross multiply
    55,706x = 86,947 × 86,947
  4. Step 4: Simplify right side
    55,706x = 7,559,780,809
  5. Step 5: Solve for x
    x = 7,559,780,809/55,706
  6. Step 6: Final answer
    x = 135,708.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.