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Finding the Third Proportional to 53,484 and 114,357

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Solution

The third proportional to 53,484 and 114,357 is: 244,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,484 : 114,357 = 114,357 : x
  2. Step 2: Convert to fraction form
    53,484/114,357 = 114,357/x
  3. Step 3: Cross multiply
    53,484x = 114,357 × 114,357
  4. Step 4: Simplify right side
    53,484x = 13,077,523,449
  5. Step 5: Solve for x
    x = 13,077,523,449/53,484
  6. Step 6: Final answer
    x = 244,512.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.