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Finding the Third Proportional to 53,516 and 112,552

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Solution

The third proportional to 53,516 and 112,552 is: 236,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,516 : 112,552 = 112,552 : x
  2. Step 2: Convert to fraction form
    53,516/112,552 = 112,552/x
  3. Step 3: Cross multiply
    53,516x = 112,552 × 112,552
  4. Step 4: Simplify right side
    53,516x = 12,667,952,704
  5. Step 5: Solve for x
    x = 12,667,952,704/53,516
  6. Step 6: Final answer
    x = 236,713.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.