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Finding the Third Proportional to 73,354 and 106,570

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Solution

The third proportional to 73,354 and 106,570 is: 154,826.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,354 : 106,570 = 106,570 : x
  2. Step 2: Convert to fraction form
    73,354/106,570 = 106,570/x
  3. Step 3: Cross multiply
    73,354x = 106,570 × 106,570
  4. Step 4: Simplify right side
    73,354x = 11,357,164,900
  5. Step 5: Solve for x
    x = 11,357,164,900/73,354
  6. Step 6: Final answer
    x = 154,826.80

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.