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Finding the Third Proportional to 61,391 and 132,228.25

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Solution

The third proportional to 61,391 and 132,228.25 is: 284,802.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,391 : 132,228.25 = 132,228.25 : x
  2. Step 2: Convert to fraction form
    61,391/132,228.25 = 132,228.25/x
  3. Step 3: Cross multiply
    61,391x = 132,228.25 × 132,228.25
  4. Step 4: Simplify right side
    61,391x = 17,484,310,098.06
  5. Step 5: Solve for x
    x = 17,484,310,098.06/61,391
  6. Step 6: Final answer
    x = 284,802.50

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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.