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Finding the Third Proportional to 53,453 and 84,636

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Solution

The third proportional to 53,453 and 84,636 is: 134,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,453 : 84,636 = 84,636 : x
  2. Step 2: Convert to fraction form
    53,453/84,636 = 84,636/x
  3. Step 3: Cross multiply
    53,453x = 84,636 × 84,636
  4. Step 4: Simplify right side
    53,453x = 7,163,252,496
  5. Step 5: Solve for x
    x = 7,163,252,496/53,453
  6. Step 6: Final answer
    x = 134,010.30

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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.