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Finding the Third Proportional to 53,410 and 113,724

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Solution

The third proportional to 53,410 and 113,724 is: 242,148.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,410 : 113,724 = 113,724 : x
  2. Step 2: Convert to fraction form
    53,410/113,724 = 113,724/x
  3. Step 3: Cross multiply
    53,410x = 113,724 × 113,724
  4. Step 4: Simplify right side
    53,410x = 12,933,148,176
  5. Step 5: Solve for x
    x = 12,933,148,176/53,410
  6. Step 6: Final answer
    x = 242,148.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.