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Finding the Third Proportional to 53,452 and 84,628

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Solution

The third proportional to 53,452 and 84,628 is: 133,987.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,452 : 84,628 = 84,628 : x
  2. Step 2: Convert to fraction form
    53,452/84,628 = 84,628/x
  3. Step 3: Cross multiply
    53,452x = 84,628 × 84,628
  4. Step 4: Simplify right side
    53,452x = 7,161,898,384
  5. Step 5: Solve for x
    x = 7,161,898,384/53,452
  6. Step 6: Final answer
    x = 133,987.47

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.