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Finding the Third Proportional to 54,792 and 84,604.50

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Solution

The third proportional to 54,792 and 84,604.50 is: 130,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,792 : 84,604.50 = 84,604.50 : x
  2. Step 2: Convert to fraction form
    54,792/84,604.50 = 84,604.50/x
  3. Step 3: Cross multiply
    54,792x = 84,604.50 × 84,604.50
  4. Step 4: Simplify right side
    54,792x = 7,157,921,420.25
  5. Step 5: Solve for x
    x = 7,157,921,420.25/54,792
  6. Step 6: Final answer
    x = 130,638.08

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.