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Finding the Third Proportional to 69,305 and 105,416

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Solution

The third proportional to 69,305 and 105,416 is: 160,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,305 : 105,416 = 105,416 : x
  2. Step 2: Convert to fraction form
    69,305/105,416 = 105,416/x
  3. Step 3: Cross multiply
    69,305x = 105,416 × 105,416
  4. Step 4: Simplify right side
    69,305x = 11,112,533,056
  5. Step 5: Solve for x
    x = 11,112,533,056/69,305
  6. Step 6: Final answer
    x = 160,342.44

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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.