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Finding the Third Proportional to 55,283.34 and 82,838.11

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Solution

The third proportional to 55,283.34 and 82,838.11 is: 124,126.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,283.34 : 82,838.11 = 82,838.11 : x
  2. Step 2: Convert to fraction form
    55,283.34/82,838.11 = 82,838.11/x
  3. Step 3: Cross multiply
    55,283.34x = 82,838.11 × 82,838.11
  4. Step 4: Simplify right side
    55,283.34x = 6,862,152,364.82
  5. Step 5: Solve for x
    x = 6,862,152,364.82/55,283.34
  6. Step 6: Final answer
    x = 124,126.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.