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Finding the Third Proportional to 97,567 and 147,119

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Solution

The third proportional to 97,567 and 147,119 is: 221,837.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,567 : 147,119 = 147,119 : x
  2. Step 2: Convert to fraction form
    97,567/147,119 = 147,119/x
  3. Step 3: Cross multiply
    97,567x = 147,119 × 147,119
  4. Step 4: Simplify right side
    97,567x = 21,644,000,161
  5. Step 5: Solve for x
    x = 21,644,000,161/97,567
  6. Step 6: Final answer
    x = 221,837.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.