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Finding the Third Proportional to 53,480 and 80,028

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Solution

The third proportional to 53,480 and 80,028 is: 119,754.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,480 : 80,028 = 80,028 : x
  2. Step 2: Convert to fraction form
    53,480/80,028 = 80,028/x
  3. Step 3: Cross multiply
    53,480x = 80,028 × 80,028
  4. Step 4: Simplify right side
    53,480x = 6,404,480,784
  5. Step 5: Solve for x
    x = 6,404,480,784/53,480
  6. Step 6: Final answer
    x = 119,754.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.