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Finding the Third Proportional to 53,073 and 115,352

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Solution

The third proportional to 53,073 and 115,352 is: 250,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,073 : 115,352 = 115,352 : x
  2. Step 2: Convert to fraction form
    53,073/115,352 = 115,352/x
  3. Step 3: Cross multiply
    53,073x = 115,352 × 115,352
  4. Step 4: Simplify right side
    53,073x = 13,306,083,904
  5. Step 5: Solve for x
    x = 13,306,083,904/53,073
  6. Step 6: Final answer
    x = 250,712.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.