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Finding the Third Proportional to 102,216 and 156,895

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Solution

The third proportional to 102,216 and 156,895 is: 240,823.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,216 : 156,895 = 156,895 : x
  2. Step 2: Convert to fraction form
    102,216/156,895 = 156,895/x
  3. Step 3: Cross multiply
    102,216x = 156,895 × 156,895
  4. Step 4: Simplify right side
    102,216x = 24,616,041,025
  5. Step 5: Solve for x
    x = 24,616,041,025/102,216
  6. Step 6: Final answer
    x = 240,823.76

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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.