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Finding the Third Proportional to 52,706.44 and 83,827.13

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Solution

The third proportional to 52,706.44 and 83,827.13 is: 133,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,706.44 : 83,827.13 = 83,827.13 : x
  2. Step 2: Convert to fraction form
    52,706.44/83,827.13 = 83,827.13/x
  3. Step 3: Cross multiply
    52,706.44x = 83,827.13 × 83,827.13
  4. Step 4: Simplify right side
    52,706.44x = 7,026,986,885.77
  5. Step 5: Solve for x
    x = 7,026,986,885.77/52,706.44
  6. Step 6: Final answer
    x = 133,323.12

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.