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Finding the Third Proportional to 104,818 and 148,172

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Solution

The third proportional to 104,818 and 148,172 is: 209,457.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,818 : 148,172 = 148,172 : x
  2. Step 2: Convert to fraction form
    104,818/148,172 = 148,172/x
  3. Step 3: Cross multiply
    104,818x = 148,172 × 148,172
  4. Step 4: Simplify right side
    104,818x = 21,954,941,584
  5. Step 5: Solve for x
    x = 21,954,941,584/104,818
  6. Step 6: Final answer
    x = 209,457.74

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.