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Finding the Third Proportional to 55,004 and 85,792

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Solution

The third proportional to 55,004 and 85,792 is: 133,813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,004 : 85,792 = 85,792 : x
  2. Step 2: Convert to fraction form
    55,004/85,792 = 85,792/x
  3. Step 3: Cross multiply
    55,004x = 85,792 × 85,792
  4. Step 4: Simplify right side
    55,004x = 7,360,267,264
  5. Step 5: Solve for x
    x = 7,360,267,264/55,004
  6. Step 6: Final answer
    x = 133,813.31

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.