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Finding the Third Proportional to 97,101 and 149,036

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Solution

The third proportional to 97,101 and 149,036 is: 228,748.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,101 : 149,036 = 149,036 : x
  2. Step 2: Convert to fraction form
    97,101/149,036 = 149,036/x
  3. Step 3: Cross multiply
    97,101x = 149,036 × 149,036
  4. Step 4: Simplify right side
    97,101x = 22,211,729,296
  5. Step 5: Solve for x
    x = 22,211,729,296/97,101
  6. Step 6: Final answer
    x = 228,748.72

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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.