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Finding the Third Proportional to 53,484 and 113,001

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Solution

The third proportional to 53,484 and 113,001 is: 238,748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,484 : 113,001 = 113,001 : x
  2. Step 2: Convert to fraction form
    53,484/113,001 = 113,001/x
  3. Step 3: Cross multiply
    53,484x = 113,001 × 113,001
  4. Step 4: Simplify right side
    53,484x = 12,769,226,001
  5. Step 5: Solve for x
    x = 12,769,226,001/53,484
  6. Step 6: Final answer
    x = 238,748.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.