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Finding the Third Proportional to 61,555 and 145,228

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Solution

The third proportional to 61,555 and 145,228 is: 342,639.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,555 : 145,228 = 145,228 : x
  2. Step 2: Convert to fraction form
    61,555/145,228 = 145,228/x
  3. Step 3: Cross multiply
    61,555x = 145,228 × 145,228
  4. Step 4: Simplify right side
    61,555x = 21,091,171,984
  5. Step 5: Solve for x
    x = 21,091,171,984/61,555
  6. Step 6: Final answer
    x = 342,639.46

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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.