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Finding the Third Proportional to 104,502 and 159,210

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Solution

The third proportional to 104,502 and 159,210 is: 242,558.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,502 : 159,210 = 159,210 : x
  2. Step 2: Convert to fraction form
    104,502/159,210 = 159,210/x
  3. Step 3: Cross multiply
    104,502x = 159,210 × 159,210
  4. Step 4: Simplify right side
    104,502x = 25,347,824,100
  5. Step 5: Solve for x
    x = 25,347,824,100/104,502
  6. Step 6: Final answer
    x = 242,558.27

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.