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Finding the Third Proportional to 122,060 and 182,971

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Solution

The third proportional to 122,060 and 182,971 is: 274,278.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,060 : 182,971 = 182,971 : x
  2. Step 2: Convert to fraction form
    122,060/182,971 = 182,971/x
  3. Step 3: Cross multiply
    122,060x = 182,971 × 182,971
  4. Step 4: Simplify right side
    122,060x = 33,478,386,841
  5. Step 5: Solve for x
    x = 33,478,386,841/122,060
  6. Step 6: Final answer
    x = 274,278.12

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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.