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Finding the Third Proportional to 97,095.25 and 149,026.75

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Solution

The third proportional to 97,095.25 and 149,026.75 is: 228,733.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,095.25 : 149,026.75 = 149,026.75 : x
  2. Step 2: Convert to fraction form
    97,095.25/149,026.75 = 149,026.75/x
  3. Step 3: Cross multiply
    97,095.25x = 149,026.75 × 149,026.75
  4. Step 4: Simplify right side
    97,095.25x = 22,208,972,215.56
  5. Step 5: Solve for x
    x = 22,208,972,215.56/97,095.25
  6. Step 6: Final answer
    x = 228,733.87

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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.