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Finding the Third Proportional to 74,304 and 130,992

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Solution

The third proportional to 74,304 and 130,992 is: 230,928.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,304 : 130,992 = 130,992 : x
  2. Step 2: Convert to fraction form
    74,304/130,992 = 130,992/x
  3. Step 3: Cross multiply
    74,304x = 130,992 × 130,992
  4. Step 4: Simplify right side
    74,304x = 17,158,904,064
  5. Step 5: Solve for x
    x = 17,158,904,064/74,304
  6. Step 6: Final answer
    x = 230,928.40

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.