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Finding the Third Proportional to 97,848 and 162,486

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Solution

The third proportional to 97,848 and 162,486 is: 269,823.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,848 : 162,486 = 162,486 : x
  2. Step 2: Convert to fraction form
    97,848/162,486 = 162,486/x
  3. Step 3: Cross multiply
    97,848x = 162,486 × 162,486
  4. Step 4: Simplify right side
    97,848x = 26,401,700,196
  5. Step 5: Solve for x
    x = 26,401,700,196/97,848
  6. Step 6: Final answer
    x = 269,823.61

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.