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Finding the Third Proportional to 68,896 and 97,514

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Solution

The third proportional to 68,896 and 97,514 is: 138,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,896 : 97,514 = 97,514 : x
  2. Step 2: Convert to fraction form
    68,896/97,514 = 97,514/x
  3. Step 3: Cross multiply
    68,896x = 97,514 × 97,514
  4. Step 4: Simplify right side
    68,896x = 9,508,980,196
  5. Step 5: Solve for x
    x = 9,508,980,196/68,896
  6. Step 6: Final answer
    x = 138,019.34

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.