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Finding the Third Proportional to 109,304 and 157,972

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Solution

The third proportional to 109,304 and 157,972 is: 228,309.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,304 : 157,972 = 157,972 : x
  2. Step 2: Convert to fraction form
    109,304/157,972 = 157,972/x
  3. Step 3: Cross multiply
    109,304x = 157,972 × 157,972
  4. Step 4: Simplify right side
    109,304x = 24,955,152,784
  5. Step 5: Solve for x
    x = 24,955,152,784/109,304
  6. Step 6: Final answer
    x = 228,309.60

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.