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Finding the Third Proportional to 106,564 and 156,390

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Solution

The third proportional to 106,564 and 156,390 is: 229,513.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,564 : 156,390 = 156,390 : x
  2. Step 2: Convert to fraction form
    106,564/156,390 = 156,390/x
  3. Step 3: Cross multiply
    106,564x = 156,390 × 156,390
  4. Step 4: Simplify right side
    106,564x = 24,457,832,100
  5. Step 5: Solve for x
    x = 24,457,832,100/106,564
  6. Step 6: Final answer
    x = 229,513.08

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.