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Finding the Third Proportional to 107,308 and 169,878

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Solution

The third proportional to 107,308 and 169,878 is: 268,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,308 : 169,878 = 169,878 : x
  2. Step 2: Convert to fraction form
    107,308/169,878 = 169,878/x
  3. Step 3: Cross multiply
    107,308x = 169,878 × 169,878
  4. Step 4: Simplify right side
    107,308x = 28,858,534,884
  5. Step 5: Solve for x
    x = 28,858,534,884/107,308
  6. Step 6: Final answer
    x = 268,931.81

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.