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Finding the Third Proportional to 69,876 and 148,032

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Solution

The third proportional to 69,876 and 148,032 is: 313,605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,876 : 148,032 = 148,032 : x
  2. Step 2: Convert to fraction form
    69,876/148,032 = 148,032/x
  3. Step 3: Cross multiply
    69,876x = 148,032 × 148,032
  4. Step 4: Simplify right side
    69,876x = 21,913,473,024
  5. Step 5: Solve for x
    x = 21,913,473,024/69,876
  6. Step 6: Final answer
    x = 313,605.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.