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Finding the Third Proportional to 62,765 and 134,164

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Solution

The third proportional to 62,765 and 134,164 is: 286,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,765 : 134,164 = 134,164 : x
  2. Step 2: Convert to fraction form
    62,765/134,164 = 134,164/x
  3. Step 3: Cross multiply
    62,765x = 134,164 × 134,164
  4. Step 4: Simplify right side
    62,765x = 17,999,978,896
  5. Step 5: Solve for x
    x = 17,999,978,896/62,765
  6. Step 6: Final answer
    x = 286,783.70

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.