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Finding the Third Proportional to 97,998 and 138,006

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Solution

The third proportional to 97,998 and 138,006 is: 194,347.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,998 : 138,006 = 138,006 : x
  2. Step 2: Convert to fraction form
    97,998/138,006 = 138,006/x
  3. Step 3: Cross multiply
    97,998x = 138,006 × 138,006
  4. Step 4: Simplify right side
    97,998x = 19,045,656,036
  5. Step 5: Solve for x
    x = 19,045,656,036/97,998
  6. Step 6: Final answer
    x = 194,347.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.