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Finding the Third Proportional to 97,994 and 146,721

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Solution

The third proportional to 97,994 and 146,721 is: 219,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,994 : 146,721 = 146,721 : x
  2. Step 2: Convert to fraction form
    97,994/146,721 = 146,721/x
  3. Step 3: Cross multiply
    97,994x = 146,721 × 146,721
  4. Step 4: Simplify right side
    97,994x = 21,527,051,841
  5. Step 5: Solve for x
    x = 21,527,051,841/97,994
  6. Step 6: Final answer
    x = 219,677.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.