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Finding the Third Proportional to 73,490 and 158,620

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Solution

The third proportional to 73,490 and 158,620 is: 342,363.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,490 : 158,620 = 158,620 : x
  2. Step 2: Convert to fraction form
    73,490/158,620 = 158,620/x
  3. Step 3: Cross multiply
    73,490x = 158,620 × 158,620
  4. Step 4: Simplify right side
    73,490x = 25,160,304,400
  5. Step 5: Solve for x
    x = 25,160,304,400/73,490
  6. Step 6: Final answer
    x = 342,363.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.