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Finding the Third Proportional to 61,297.13 and 94,952.81

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Solution

The third proportional to 61,297.13 and 94,952.81 is: 147,087.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,297.13 : 94,952.81 = 94,952.81 : x
  2. Step 2: Convert to fraction form
    61,297.13/94,952.81 = 94,952.81/x
  3. Step 3: Cross multiply
    61,297.13x = 94,952.81 × 94,952.81
  4. Step 4: Simplify right side
    61,297.13x = 9,016,036,601.66
  5. Step 5: Solve for x
    x = 9,016,036,601.66/61,297.13
  6. Step 6: Final answer
    x = 147,087.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.