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Finding the Third Proportional to 61,833 and 133,440

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Solution

The third proportional to 61,833 and 133,440 is: 287,972.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,833 : 133,440 = 133,440 : x
  2. Step 2: Convert to fraction form
    61,833/133,440 = 133,440/x
  3. Step 3: Cross multiply
    61,833x = 133,440 × 133,440
  4. Step 4: Simplify right side
    61,833x = 17,806,233,600
  5. Step 5: Solve for x
    x = 17,806,233,600/61,833
  6. Step 6: Final answer
    x = 287,972.99

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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.