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Finding the Third Proportional to 61,776 and 145,800

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Solution

The third proportional to 61,776 and 145,800 is: 344,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,776 : 145,800 = 145,800 : x
  2. Step 2: Convert to fraction form
    61,776/145,800 = 145,800/x
  3. Step 3: Cross multiply
    61,776x = 145,800 × 145,800
  4. Step 4: Simplify right side
    61,776x = 21,257,640,000
  5. Step 5: Solve for x
    x = 21,257,640,000/61,776
  6. Step 6: Final answer
    x = 344,108.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.