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Finding the Third Proportional to 55,071 and 84,798

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Solution

The third proportional to 55,071 and 84,798 is: 130,571.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,071 : 84,798 = 84,798 : x
  2. Step 2: Convert to fraction form
    55,071/84,798 = 84,798/x
  3. Step 3: Cross multiply
    55,071x = 84,798 × 84,798
  4. Step 4: Simplify right side
    55,071x = 7,190,700,804
  5. Step 5: Solve for x
    x = 7,190,700,804/55,071
  6. Step 6: Final answer
    x = 130,571.46

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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.