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Finding the Third Proportional to 53,648 and 81,624

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Solution

The third proportional to 53,648 and 81,624 is: 124,188.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,648 : 81,624 = 81,624 : x
  2. Step 2: Convert to fraction form
    53,648/81,624 = 81,624/x
  3. Step 3: Cross multiply
    53,648x = 81,624 × 81,624
  4. Step 4: Simplify right side
    53,648x = 6,662,477,376
  5. Step 5: Solve for x
    x = 6,662,477,376/53,648
  6. Step 6: Final answer
    x = 124,188.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.