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Finding the Third Proportional to 61,062 and 131,336

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Solution

The third proportional to 61,062 and 131,336 is: 282,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,062 : 131,336 = 131,336 : x
  2. Step 2: Convert to fraction form
    61,062/131,336 = 131,336/x
  3. Step 3: Cross multiply
    61,062x = 131,336 × 131,336
  4. Step 4: Simplify right side
    61,062x = 17,249,144,896
  5. Step 5: Solve for x
    x = 17,249,144,896/61,062
  6. Step 6: Final answer
    x = 282,485.75

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