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Finding the Third Proportional to 69,381 and 163,728.50

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Solution

The third proportional to 69,381 and 163,728.50 is: 386,374.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,381 : 163,728.50 = 163,728.50 : x
  2. Step 2: Convert to fraction form
    69,381/163,728.50 = 163,728.50/x
  3. Step 3: Cross multiply
    69,381x = 163,728.50 × 163,728.50
  4. Step 4: Simplify right side
    69,381x = 26,807,021,712.25
  5. Step 5: Solve for x
    x = 26,807,021,712.25/69,381
  6. Step 6: Final answer
    x = 386,374.10

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.