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Finding the Third Proportional to 61,176.09 and 86,151.09

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Solution

The third proportional to 61,176.09 and 86,151.09 is: 121,322.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,176.09 : 86,151.09 = 86,151.09 : x
  2. Step 2: Convert to fraction form
    61,176.09/86,151.09 = 86,151.09/x
  3. Step 3: Cross multiply
    61,176.09x = 86,151.09 × 86,151.09
  4. Step 4: Simplify right side
    61,176.09x = 7,422,010,954.32
  5. Step 5: Solve for x
    x = 7,422,010,954.32/61,176.09
  6. Step 6: Final answer
    x = 121,322.08

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.