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Finding the Third Proportional to 73,865 and 162,091

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Solution

The third proportional to 73,865 and 162,091 is: 355,696.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,865 : 162,091 = 162,091 : x
  2. Step 2: Convert to fraction form
    73,865/162,091 = 162,091/x
  3. Step 3: Cross multiply
    73,865x = 162,091 × 162,091
  4. Step 4: Simplify right side
    73,865x = 26,273,492,281
  5. Step 5: Solve for x
    x = 26,273,492,281/73,865
  6. Step 6: Final answer
    x = 355,696.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.