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Finding the Third Proportional to 69,282 and 148,041

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Solution

The third proportional to 69,282 and 148,041 is: 316,332.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,282 : 148,041 = 148,041 : x
  2. Step 2: Convert to fraction form
    69,282/148,041 = 148,041/x
  3. Step 3: Cross multiply
    69,282x = 148,041 × 148,041
  4. Step 4: Simplify right side
    69,282x = 21,916,137,681
  5. Step 5: Solve for x
    x = 21,916,137,681/69,282
  6. Step 6: Final answer
    x = 316,332.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.