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Finding the Third Proportional to 106,206 and 162,657

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Solution

The third proportional to 106,206 and 162,657 is: 249,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,206 : 162,657 = 162,657 : x
  2. Step 2: Convert to fraction form
    106,206/162,657 = 162,657/x
  3. Step 3: Cross multiply
    106,206x = 162,657 × 162,657
  4. Step 4: Simplify right side
    106,206x = 26,457,299,649
  5. Step 5: Solve for x
    x = 26,457,299,649/106,206
  6. Step 6: Final answer
    x = 249,113.04

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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.