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Finding the Third Proportional to 102,276 and 156,985

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Solution

The third proportional to 102,276 and 156,985 is: 240,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,276 : 156,985 = 156,985 : x
  2. Step 2: Convert to fraction form
    102,276/156,985 = 156,985/x
  3. Step 3: Cross multiply
    102,276x = 156,985 × 156,985
  4. Step 4: Simplify right side
    102,276x = 24,644,290,225
  5. Step 5: Solve for x
    x = 24,644,290,225/102,276
  6. Step 6: Final answer
    x = 240,958.68

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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.