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Finding the Third Proportional to 102,829.50 and 158,913

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Solution

The third proportional to 102,829.50 and 158,913 is: 245,584.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,829.50 : 158,913 = 158,913 : x
  2. Step 2: Convert to fraction form
    102,829.50/158,913 = 158,913/x
  3. Step 3: Cross multiply
    102,829.50x = 158,913 × 158,913
  4. Step 4: Simplify right side
    102,829.50x = 25,253,341,569
  5. Step 5: Solve for x
    x = 25,253,341,569/102,829.50
  6. Step 6: Final answer
    x = 245,584.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.