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Finding the Third Proportional to 55,864.69 and 82,703.53

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Solution

The third proportional to 55,864.69 and 82,703.53 is: 122,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,864.69 : 82,703.53 = 82,703.53 : x
  2. Step 2: Convert to fraction form
    55,864.69/82,703.53 = 82,703.53/x
  3. Step 3: Cross multiply
    55,864.69x = 82,703.53 × 82,703.53
  4. Step 4: Simplify right side
    55,864.69x = 6,839,874,081.22
  5. Step 5: Solve for x
    x = 6,839,874,081.22/55,864.69
  6. Step 6: Final answer
    x = 122,436.45

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.