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Finding the Third Proportional to 102,246 and 156,942

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Solution

The third proportional to 102,246 and 156,942 is: 240,897.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,246 : 156,942 = 156,942 : x
  2. Step 2: Convert to fraction form
    102,246/156,942 = 156,942/x
  3. Step 3: Cross multiply
    102,246x = 156,942 × 156,942
  4. Step 4: Simplify right side
    102,246x = 24,630,791,364
  5. Step 5: Solve for x
    x = 24,630,791,364/102,246
  6. Step 6: Final answer
    x = 240,897.36

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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.