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Finding the Third Proportional to 53,024 and 114,352

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Solution

The third proportional to 53,024 and 114,352 is: 246,612.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,024 : 114,352 = 114,352 : x
  2. Step 2: Convert to fraction form
    53,024/114,352 = 114,352/x
  3. Step 3: Cross multiply
    53,024x = 114,352 × 114,352
  4. Step 4: Simplify right side
    53,024x = 13,076,379,904
  5. Step 5: Solve for x
    x = 13,076,379,904/53,024
  6. Step 6: Final answer
    x = 246,612.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.