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Finding the Third Proportional to 34,085.81 and 72,543.94

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Solution

The third proportional to 34,085.81 and 72,543.94 is: 154,393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,085.81 : 72,543.94 = 72,543.94 : x
  2. Step 2: Convert to fraction form
    34,085.81/72,543.94 = 72,543.94/x
  3. Step 3: Cross multiply
    34,085.81x = 72,543.94 × 72,543.94
  4. Step 4: Simplify right side
    34,085.81x = 5,262,622,868.00
  5. Step 5: Solve for x
    x = 5,262,622,868.00/34,085.81
  6. Step 6: Final answer
    x = 154,393.35

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.