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Finding the Third Proportional to 62,426 and 115,996

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Solution

The third proportional to 62,426 and 115,996 is: 215,536.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,426 : 115,996 = 115,996 : x
  2. Step 2: Convert to fraction form
    62,426/115,996 = 115,996/x
  3. Step 3: Cross multiply
    62,426x = 115,996 × 115,996
  4. Step 4: Simplify right side
    62,426x = 13,455,072,016
  5. Step 5: Solve for x
    x = 13,455,072,016/62,426
  6. Step 6: Final answer
    x = 215,536.35

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.