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Finding the Third Proportional to 53,002 and 115,207

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Solution

The third proportional to 53,002 and 115,207 is: 250,417.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,002 : 115,207 = 115,207 : x
  2. Step 2: Convert to fraction form
    53,002/115,207 = 115,207/x
  3. Step 3: Cross multiply
    53,002x = 115,207 × 115,207
  4. Step 4: Simplify right side
    53,002x = 13,272,652,849
  5. Step 5: Solve for x
    x = 13,272,652,849/53,002
  6. Step 6: Final answer
    x = 250,417.96

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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.