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Finding the Third Proportional to 102,006 and 156,735

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Solution

The third proportional to 102,006 and 156,735 is: 240,827.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006 : 156,735 = 156,735 : x
  2. Step 2: Convert to fraction form
    102,006/156,735 = 156,735/x
  3. Step 3: Cross multiply
    102,006x = 156,735 × 156,735
  4. Step 4: Simplify right side
    102,006x = 24,565,860,225
  5. Step 5: Solve for x
    x = 24,565,860,225/102,006
  6. Step 6: Final answer
    x = 240,827.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.