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Finding the Third Proportional to 77,958 and 169,038

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Solution

The third proportional to 77,958 and 169,038 is: 366,528.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,958 : 169,038 = 169,038 : x
  2. Step 2: Convert to fraction form
    77,958/169,038 = 169,038/x
  3. Step 3: Cross multiply
    77,958x = 169,038 × 169,038
  4. Step 4: Simplify right side
    77,958x = 28,573,845,444
  5. Step 5: Solve for x
    x = 28,573,845,444/77,958
  6. Step 6: Final answer
    x = 366,528.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.