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Finding the Third Proportional to 69,395 and 148,629

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Solution

The third proportional to 69,395 and 148,629 is: 318,331.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,395 : 148,629 = 148,629 : x
  2. Step 2: Convert to fraction form
    69,395/148,629 = 148,629/x
  3. Step 3: Cross multiply
    69,395x = 148,629 × 148,629
  4. Step 4: Simplify right side
    69,395x = 22,090,579,641
  5. Step 5: Solve for x
    x = 22,090,579,641/69,395
  6. Step 6: Final answer
    x = 318,331.00

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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.