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Finding the Third Proportional to 73,897 and 153,049

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Solution

The third proportional to 73,897 and 153,049 is: 316,981.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,897 : 153,049 = 153,049 : x
  2. Step 2: Convert to fraction form
    73,897/153,049 = 153,049/x
  3. Step 3: Cross multiply
    73,897x = 153,049 × 153,049
  4. Step 4: Simplify right side
    73,897x = 23,423,996,401
  5. Step 5: Solve for x
    x = 23,423,996,401/73,897
  6. Step 6: Final answer
    x = 316,981.70

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.