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Finding the Third Proportional to 66,719 and 145,102

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Solution

The third proportional to 66,719 and 145,102 is: 315,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,719 : 145,102 = 145,102 : x
  2. Step 2: Convert to fraction form
    66,719/145,102 = 145,102/x
  3. Step 3: Cross multiply
    66,719x = 145,102 × 145,102
  4. Step 4: Simplify right side
    66,719x = 21,054,590,404
  5. Step 5: Solve for x
    x = 21,054,590,404/66,719
  6. Step 6: Final answer
    x = 315,571.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.