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Finding the Third Proportional to 61,603 and 151,272

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Solution

The third proportional to 61,603 and 151,272 is: 371,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,603 : 151,272 = 151,272 : x
  2. Step 2: Convert to fraction form
    61,603/151,272 = 151,272/x
  3. Step 3: Cross multiply
    61,603x = 151,272 × 151,272
  4. Step 4: Simplify right side
    61,603x = 22,883,217,984
  5. Step 5: Solve for x
    x = 22,883,217,984/61,603
  6. Step 6: Final answer
    x = 371,462.72

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Why These Related Problems?

These problems maintain the same ratio (2.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.