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Finding the Third Proportional to 61,724 and 132,925

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Solution

The third proportional to 61,724 and 132,925 is: 286,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,724 : 132,925 = 132,925 : x
  2. Step 2: Convert to fraction form
    61,724/132,925 = 132,925/x
  3. Step 3: Cross multiply
    61,724x = 132,925 × 132,925
  4. Step 4: Simplify right side
    61,724x = 17,669,055,625
  5. Step 5: Solve for x
    x = 17,669,055,625/61,724
  6. Step 6: Final answer
    x = 286,259.08

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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.