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Finding the Third Proportional to 102,370 and 156,796

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Solution

The third proportional to 102,370 and 156,796 is: 240,158.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,370 : 156,796 = 156,796 : x
  2. Step 2: Convert to fraction form
    102,370/156,796 = 156,796/x
  3. Step 3: Cross multiply
    102,370x = 156,796 × 156,796
  4. Step 4: Simplify right side
    102,370x = 24,584,985,616
  5. Step 5: Solve for x
    x = 24,584,985,616/102,370
  6. Step 6: Final answer
    x = 240,158.11

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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.