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Finding the Third Proportional to 77,913 and 170,406

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Solution

The third proportional to 77,913 and 170,406 is: 372,700.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,913 : 170,406 = 170,406 : x
  2. Step 2: Convert to fraction form
    77,913/170,406 = 170,406/x
  3. Step 3: Cross multiply
    77,913x = 170,406 × 170,406
  4. Step 4: Simplify right side
    77,913x = 29,038,204,836
  5. Step 5: Solve for x
    x = 29,038,204,836/77,913
  6. Step 6: Final answer
    x = 372,700.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.