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Finding the Third Proportional to 66,807 and 145,014

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Solution

The third proportional to 66,807 and 145,014 is: 314,773.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,807 : 145,014 = 145,014 : x
  2. Step 2: Convert to fraction form
    66,807/145,014 = 145,014/x
  3. Step 3: Cross multiply
    66,807x = 145,014 × 145,014
  4. Step 4: Simplify right side
    66,807x = 21,029,060,196
  5. Step 5: Solve for x
    x = 21,029,060,196/66,807
  6. Step 6: Final answer
    x = 314,773.31

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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.