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Finding the Third Proportional to 104,464 and 159,292.50

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Solution

The third proportional to 104,464 and 159,292.50 is: 242,898.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,464 : 159,292.50 = 159,292.50 : x
  2. Step 2: Convert to fraction form
    104,464/159,292.50 = 159,292.50/x
  3. Step 3: Cross multiply
    104,464x = 159,292.50 × 159,292.50
  4. Step 4: Simplify right side
    104,464x = 25,374,100,556.25
  5. Step 5: Solve for x
    x = 25,374,100,556.25/104,464
  6. Step 6: Final answer
    x = 242,898.04

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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.