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Finding the Third Proportional to 67,352 and 105,660

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Solution

The third proportional to 67,352 and 105,660 is: 165,756.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,352 : 105,660 = 105,660 : x
  2. Step 2: Convert to fraction form
    67,352/105,660 = 105,660/x
  3. Step 3: Cross multiply
    67,352x = 105,660 × 105,660
  4. Step 4: Simplify right side
    67,352x = 11,164,035,600
  5. Step 5: Solve for x
    x = 11,164,035,600/67,352
  6. Step 6: Final answer
    x = 165,756.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.