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Finding the Third Proportional to 103,707 and 156,510

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Solution

The third proportional to 103,707 and 156,510 is: 236,197.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,707 : 156,510 = 156,510 : x
  2. Step 2: Convert to fraction form
    103,707/156,510 = 156,510/x
  3. Step 3: Cross multiply
    103,707x = 156,510 × 156,510
  4. Step 4: Simplify right side
    103,707x = 24,495,380,100
  5. Step 5: Solve for x
    x = 24,495,380,100/103,707
  6. Step 6: Final answer
    x = 236,197.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.