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Finding the Third Proportional to 53,038 and 115,542

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Solution

The third proportional to 53,038 and 115,542 is: 251,705.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,038 : 115,542 = 115,542 : x
  2. Step 2: Convert to fraction form
    53,038/115,542 = 115,542/x
  3. Step 3: Cross multiply
    53,038x = 115,542 × 115,542
  4. Step 4: Simplify right side
    53,038x = 13,349,953,764
  5. Step 5: Solve for x
    x = 13,349,953,764/53,038
  6. Step 6: Final answer
    x = 251,705.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.