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Finding the Third Proportional to 61,172.72 and 86,146.03

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Solution

The third proportional to 61,172.72 and 86,146.03 is: 121,314.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,172.72 : 86,146.03 = 86,146.03 : x
  2. Step 2: Convert to fraction form
    61,172.72/86,146.03 = 86,146.03/x
  3. Step 3: Cross multiply
    61,172.72x = 86,146.03 × 86,146.03
  4. Step 4: Simplify right side
    61,172.72x = 7,421,138,700.13
  5. Step 5: Solve for x
    x = 7,421,138,700.13/61,172.72
  6. Step 6: Final answer
    x = 121,314.51

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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.