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Finding the Third Proportional to 73,470 and 109,125

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Solution

The third proportional to 73,470 and 109,125 is: 162,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,470 : 109,125 = 109,125 : x
  2. Step 2: Convert to fraction form
    73,470/109,125 = 109,125/x
  3. Step 3: Cross multiply
    73,470x = 109,125 × 109,125
  4. Step 4: Simplify right side
    73,470x = 11,908,265,625
  5. Step 5: Solve for x
    x = 11,908,265,625/73,470
  6. Step 6: Final answer
    x = 162,083.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.