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Finding the Third Proportional to 106,970 and 166,304

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Solution

The third proportional to 106,970 and 166,304 is: 258,549.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,970 : 166,304 = 166,304 : x
  2. Step 2: Convert to fraction form
    106,970/166,304 = 166,304/x
  3. Step 3: Cross multiply
    106,970x = 166,304 × 166,304
  4. Step 4: Simplify right side
    106,970x = 27,657,020,416
  5. Step 5: Solve for x
    x = 27,657,020,416/106,970
  6. Step 6: Final answer
    x = 258,549.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.