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Finding the Third Proportional to 61,297.13 and 84,412.13

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Solution

The third proportional to 61,297.13 and 84,412.13 is: 116,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,297.13 : 84,412.13 = 84,412.13 : x
  2. Step 2: Convert to fraction form
    61,297.13/84,412.13 = 84,412.13/x
  3. Step 3: Cross multiply
    61,297.13x = 84,412.13 × 84,412.13
  4. Step 4: Simplify right side
    61,297.13x = 7,125,406,847.02
  5. Step 5: Solve for x
    x = 7,125,406,847.02/61,297.13
  6. Step 6: Final answer
    x = 116,243.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.