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Finding the Third Proportional to 61,582 and 133,010

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Solution

The third proportional to 61,582 and 133,010 is: 287,286.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,582 : 133,010 = 133,010 : x
  2. Step 2: Convert to fraction form
    61,582/133,010 = 133,010/x
  3. Step 3: Cross multiply
    61,582x = 133,010 × 133,010
  4. Step 4: Simplify right side
    61,582x = 17,691,660,100
  5. Step 5: Solve for x
    x = 17,691,660,100/61,582
  6. Step 6: Final answer
    x = 287,286.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.