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Finding the Third Proportional to 97,850 and 162,489

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Solution

The third proportional to 97,850 and 162,489 is: 269,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,850 : 162,489 = 162,489 : x
  2. Step 2: Convert to fraction form
    97,850/162,489 = 162,489/x
  3. Step 3: Cross multiply
    97,850x = 162,489 × 162,489
  4. Step 4: Simplify right side
    97,850x = 26,402,675,121
  5. Step 5: Solve for x
    x = 26,402,675,121/97,850
  6. Step 6: Final answer
    x = 269,828.05

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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.