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Finding the Third Proportional to 97,470 and 148,815

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Solution

The third proportional to 97,470 and 148,815 is: 227,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,470 : 148,815 = 148,815 : x
  2. Step 2: Convert to fraction form
    97,470/148,815 = 148,815/x
  3. Step 3: Cross multiply
    97,470x = 148,815 × 148,815
  4. Step 4: Simplify right side
    97,470x = 22,145,904,225
  5. Step 5: Solve for x
    x = 22,145,904,225/97,470
  6. Step 6: Final answer
    x = 227,207.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.