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Finding the Third Proportional to 61,798 and 132,916

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Solution

The third proportional to 61,798 and 132,916 is: 285,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,798 : 132,916 = 132,916 : x
  2. Step 2: Convert to fraction form
    61,798/132,916 = 132,916/x
  3. Step 3: Cross multiply
    61,798x = 132,916 × 132,916
  4. Step 4: Simplify right side
    61,798x = 17,666,663,056
  5. Step 5: Solve for x
    x = 17,666,663,056/61,798
  6. Step 6: Final answer
    x = 285,877.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.