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Finding the Third Proportional to 104,913 and 157,329

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Solution

The third proportional to 104,913 and 157,329 is: 235,932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,913 : 157,329 = 157,329 : x
  2. Step 2: Convert to fraction form
    104,913/157,329 = 157,329/x
  3. Step 3: Cross multiply
    104,913x = 157,329 × 157,329
  4. Step 4: Simplify right side
    104,913x = 24,752,414,241
  5. Step 5: Solve for x
    x = 24,752,414,241/104,913
  6. Step 6: Final answer
    x = 235,932.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.