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Finding the Third Proportional to 104,584 and 157,114

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Solution

The third proportional to 104,584 and 157,114 is: 236,028.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,584 : 157,114 = 157,114 : x
  2. Step 2: Convert to fraction form
    104,584/157,114 = 157,114/x
  3. Step 3: Cross multiply
    104,584x = 157,114 × 157,114
  4. Step 4: Simplify right side
    104,584x = 24,684,808,996
  5. Step 5: Solve for x
    x = 24,684,808,996/104,584
  6. Step 6: Final answer
    x = 236,028.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.