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Finding the Third Proportional to 53,840 and 75,446

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Solution

The third proportional to 53,840 and 75,446 is: 105,722.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,840 : 75,446 = 75,446 : x
  2. Step 2: Convert to fraction form
    53,840/75,446 = 75,446/x
  3. Step 3: Cross multiply
    53,840x = 75,446 × 75,446
  4. Step 4: Simplify right side
    53,840x = 5,692,098,916
  5. Step 5: Solve for x
    x = 5,692,098,916/53,840
  6. Step 6: Final answer
    x = 105,722.49

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.