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Finding the Third Proportional to 104,087 and 164,658

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Solution

The third proportional to 104,087 and 164,658 is: 260,476.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,087 : 164,658 = 164,658 : x
  2. Step 2: Convert to fraction form
    104,087/164,658 = 164,658/x
  3. Step 3: Cross multiply
    104,087x = 164,658 × 164,658
  4. Step 4: Simplify right side
    104,087x = 27,112,256,964
  5. Step 5: Solve for x
    x = 27,112,256,964/104,087
  6. Step 6: Final answer
    x = 260,476.88

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.