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Finding the Third Proportional to 69,399 and 148,653

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Solution

The third proportional to 69,399 and 148,653 is: 318,415.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,399 : 148,653 = 148,653 : x
  2. Step 2: Convert to fraction form
    69,399/148,653 = 148,653/x
  3. Step 3: Cross multiply
    69,399x = 148,653 × 148,653
  4. Step 4: Simplify right side
    69,399x = 22,097,714,409
  5. Step 5: Solve for x
    x = 22,097,714,409/69,399
  6. Step 6: Final answer
    x = 318,415.46

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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.