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Finding the Third Proportional to 69,550 and 105,650

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Solution

The third proportional to 69,550 and 105,650 is: 160,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,550 : 105,650 = 105,650 : x
  2. Step 2: Convert to fraction form
    69,550/105,650 = 105,650/x
  3. Step 3: Cross multiply
    69,550x = 105,650 × 105,650
  4. Step 4: Simplify right side
    69,550x = 11,161,922,500
  5. Step 5: Solve for x
    x = 11,161,922,500/69,550
  6. Step 6: Final answer
    x = 160,487.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.