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Finding the Third Proportional to 106,284 and 162,774

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Solution

The third proportional to 106,284 and 162,774 is: 249,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,284 : 162,774 = 162,774 : x
  2. Step 2: Convert to fraction form
    106,284/162,774 = 162,774/x
  3. Step 3: Cross multiply
    106,284x = 162,774 × 162,774
  4. Step 4: Simplify right side
    106,284x = 26,495,375,076
  5. Step 5: Solve for x
    x = 26,495,375,076/106,284
  6. Step 6: Final answer
    x = 249,288.46

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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.