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Finding the Third Proportional to 53,532 and 84,834

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Solution

The third proportional to 53,532 and 84,834 is: 134,439.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,532 : 84,834 = 84,834 : x
  2. Step 2: Convert to fraction form
    53,532/84,834 = 84,834/x
  3. Step 3: Cross multiply
    53,532x = 84,834 × 84,834
  4. Step 4: Simplify right side
    53,532x = 7,196,807,556
  5. Step 5: Solve for x
    x = 7,196,807,556/53,532
  6. Step 6: Final answer
    x = 134,439.36

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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.