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Finding the Third Proportional to 102,979 and 164,461

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Solution

The third proportional to 102,979 and 164,461 is: 262,649.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,979 : 164,461 = 164,461 : x
  2. Step 2: Convert to fraction form
    102,979/164,461 = 164,461/x
  3. Step 3: Cross multiply
    102,979x = 164,461 × 164,461
  4. Step 4: Simplify right side
    102,979x = 27,047,420,521
  5. Step 5: Solve for x
    x = 27,047,420,521/102,979
  6. Step 6: Final answer
    x = 262,649.87

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.