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Finding the Third Proportional to 104,583 and 160,014

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Solution

The third proportional to 104,583 and 160,014 is: 244,824.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,583 : 160,014 = 160,014 : x
  2. Step 2: Convert to fraction form
    104,583/160,014 = 160,014/x
  3. Step 3: Cross multiply
    104,583x = 160,014 × 160,014
  4. Step 4: Simplify right side
    104,583x = 25,604,480,196
  5. Step 5: Solve for x
    x = 25,604,480,196/104,583
  6. Step 6: Final answer
    x = 244,824.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.