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Finding the Third Proportional to 61,603.50 and 151,275

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Solution

The third proportional to 61,603.50 and 151,275 is: 371,474.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,603.50 : 151,275 = 151,275 : x
  2. Step 2: Convert to fraction form
    61,603.50/151,275 = 151,275/x
  3. Step 3: Cross multiply
    61,603.50x = 151,275 × 151,275
  4. Step 4: Simplify right side
    61,603.50x = 22,884,125,625
  5. Step 5: Solve for x
    x = 22,884,125,625/61,603.50
  6. Step 6: Final answer
    x = 371,474.44

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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.