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Finding the Third Proportional to 120,152 and 174,031

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Solution

The third proportional to 120,152 and 174,031 is: 252,070.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,152 : 174,031 = 174,031 : x
  2. Step 2: Convert to fraction form
    120,152/174,031 = 174,031/x
  3. Step 3: Cross multiply
    120,152x = 174,031 × 174,031
  4. Step 4: Simplify right side
    120,152x = 30,286,788,961
  5. Step 5: Solve for x
    x = 30,286,788,961/120,152
  6. Step 6: Final answer
    x = 252,070.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.