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Finding the Third Proportional to 106,292 and 162,263

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Solution

The third proportional to 106,292 and 162,263 is: 247,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,292 : 162,263 = 162,263 : x
  2. Step 2: Convert to fraction form
    106,292/162,263 = 162,263/x
  3. Step 3: Cross multiply
    106,292x = 162,263 × 162,263
  4. Step 4: Simplify right side
    106,292x = 26,329,281,169
  5. Step 5: Solve for x
    x = 26,329,281,169/106,292
  6. Step 6: Final answer
    x = 247,707.08

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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.