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Finding the Third Proportional to 54,796 and 84,608

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Solution

The third proportional to 54,796 and 84,608 is: 130,639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,796 : 84,608 = 84,608 : x
  2. Step 2: Convert to fraction form
    54,796/84,608 = 84,608/x
  3. Step 3: Cross multiply
    54,796x = 84,608 × 84,608
  4. Step 4: Simplify right side
    54,796x = 7,158,513,664
  5. Step 5: Solve for x
    x = 7,158,513,664/54,796
  6. Step 6: Final answer
    x = 130,639.35

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Why These Related Problems?

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