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Finding the Third Proportional to 55,062.28 and 84,784.22

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Solution

The third proportional to 55,062.28 and 84,784.22 is: 130,549.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,062.28 : 84,784.22 = 84,784.22 : x
  2. Step 2: Convert to fraction form
    55,062.28/84,784.22 = 84,784.22/x
  3. Step 3: Cross multiply
    55,062.28x = 84,784.22 × 84,784.22
  4. Step 4: Simplify right side
    55,062.28x = 7,188,363,749.05
  5. Step 5: Solve for x
    x = 7,188,363,749.05/55,062.28
  6. Step 6: Final answer
    x = 130,549.69

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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.