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Finding the Third Proportional to 103,392 and 159,583.50

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Solution

The third proportional to 103,392 and 159,583.50 is: 246,313.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,392 : 159,583.50 = 159,583.50 : x
  2. Step 2: Convert to fraction form
    103,392/159,583.50 = 159,583.50/x
  3. Step 3: Cross multiply
    103,392x = 159,583.50 × 159,583.50
  4. Step 4: Simplify right side
    103,392x = 25,466,893,472.25
  5. Step 5: Solve for x
    x = 25,466,893,472.25/103,392
  6. Step 6: Final answer
    x = 246,313.97

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.