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Finding the Third Proportional to 104,428 and 159,094

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Solution

The third proportional to 104,428 and 159,094 is: 242,376.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,428 : 159,094 = 159,094 : x
  2. Step 2: Convert to fraction form
    104,428/159,094 = 159,094/x
  3. Step 3: Cross multiply
    104,428x = 159,094 × 159,094
  4. Step 4: Simplify right side
    104,428x = 25,310,900,836
  5. Step 5: Solve for x
    x = 25,310,900,836/104,428
  6. Step 6: Final answer
    x = 242,376.57

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Why These Related Problems?

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