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Finding the Third Proportional to 53,487 and 110,619

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Solution

The third proportional to 53,487 and 110,619 is: 228,776.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,487 : 110,619 = 110,619 : x
  2. Step 2: Convert to fraction form
    53,487/110,619 = 110,619/x
  3. Step 3: Cross multiply
    53,487x = 110,619 × 110,619
  4. Step 4: Simplify right side
    53,487x = 12,236,563,161
  5. Step 5: Solve for x
    x = 12,236,563,161/53,487
  6. Step 6: Final answer
    x = 228,776.40

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.