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Finding the Third Proportional to 104,485 and 159,175.50

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Solution

The third proportional to 104,485 and 159,175.50 is: 242,492.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,485 : 159,175.50 = 159,175.50 : x
  2. Step 2: Convert to fraction form
    104,485/159,175.50 = 159,175.50/x
  3. Step 3: Cross multiply
    104,485x = 159,175.50 × 159,175.50
  4. Step 4: Simplify right side
    104,485x = 25,336,839,800.25
  5. Step 5: Solve for x
    x = 25,336,839,800.25/104,485
  6. Step 6: Final answer
    x = 242,492.60

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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.