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Finding the Third Proportional to 66,580 and 144,238

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Solution

The third proportional to 66,580 and 144,238 is: 312,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,580 : 144,238 = 144,238 : x
  2. Step 2: Convert to fraction form
    66,580/144,238 = 144,238/x
  3. Step 3: Cross multiply
    66,580x = 144,238 × 144,238
  4. Step 4: Simplify right side
    66,580x = 20,804,600,644
  5. Step 5: Solve for x
    x = 20,804,600,644/66,580
  6. Step 6: Final answer
    x = 312,475.23

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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.