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Finding the Third Proportional to 69,534 and 148,914

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Solution

The third proportional to 69,534 and 148,914 is: 318,914.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,534 : 148,914 = 148,914 : x
  2. Step 2: Convert to fraction form
    69,534/148,914 = 148,914/x
  3. Step 3: Cross multiply
    69,534x = 148,914 × 148,914
  4. Step 4: Simplify right side
    69,534x = 22,175,379,396
  5. Step 5: Solve for x
    x = 22,175,379,396/69,534
  6. Step 6: Final answer
    x = 318,914.19

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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.