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Finding the Third Proportional to 61,657 and 133,132

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Solution

The third proportional to 61,657 and 133,132 is: 287,463.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,657 : 133,132 = 133,132 : x
  2. Step 2: Convert to fraction form
    61,657/133,132 = 133,132/x
  3. Step 3: Cross multiply
    61,657x = 133,132 × 133,132
  4. Step 4: Simplify right side
    61,657x = 17,724,129,424
  5. Step 5: Solve for x
    x = 17,724,129,424/61,657
  6. Step 6: Final answer
    x = 287,463.38

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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.