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Finding the Third Proportional to 62,816 and 145,304

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Solution

The third proportional to 62,816 and 145,304 is: 336,112.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,816 : 145,304 = 145,304 : x
  2. Step 2: Convert to fraction form
    62,816/145,304 = 145,304/x
  3. Step 3: Cross multiply
    62,816x = 145,304 × 145,304
  4. Step 4: Simplify right side
    62,816x = 21,113,252,416
  5. Step 5: Solve for x
    x = 21,113,252,416/62,816
  6. Step 6: Final answer
    x = 336,112.65

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.