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Finding the Third Proportional to 102,616 and 153,511

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Solution

The third proportional to 102,616 and 153,511 is: 229,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,616 : 153,511 = 153,511 : x
  2. Step 2: Convert to fraction form
    102,616/153,511 = 153,511/x
  3. Step 3: Cross multiply
    102,616x = 153,511 × 153,511
  4. Step 4: Simplify right side
    102,616x = 23,565,627,121
  5. Step 5: Solve for x
    x = 23,565,627,121/102,616
  6. Step 6: Final answer
    x = 229,648.66

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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.