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Finding the Third Proportional to 53,256 and 114,363

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Solution

The third proportional to 53,256 and 114,363 is: 245,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,256 : 114,363 = 114,363 : x
  2. Step 2: Convert to fraction form
    53,256/114,363 = 114,363/x
  3. Step 3: Cross multiply
    53,256x = 114,363 × 114,363
  4. Step 4: Simplify right side
    53,256x = 13,078,895,769
  5. Step 5: Solve for x
    x = 13,078,895,769/53,256
  6. Step 6: Final answer
    x = 245,585.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.