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Finding the Third Proportional to 66,906 and 144,036

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Solution

The third proportional to 66,906 and 144,036 is: 310,082.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,906 : 144,036 = 144,036 : x
  2. Step 2: Convert to fraction form
    66,906/144,036 = 144,036/x
  3. Step 3: Cross multiply
    66,906x = 144,036 × 144,036
  4. Step 4: Simplify right side
    66,906x = 20,746,369,296
  5. Step 5: Solve for x
    x = 20,746,369,296/66,906
  6. Step 6: Final answer
    x = 310,082.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.