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Finding the Third Proportional to 69,345 and 101,549.25

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Solution

The third proportional to 69,345 and 101,549.25 is: 148,709.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,345 : 101,549.25 = 101,549.25 : x
  2. Step 2: Convert to fraction form
    69,345/101,549.25 = 101,549.25/x
  3. Step 3: Cross multiply
    69,345x = 101,549.25 × 101,549.25
  4. Step 4: Simplify right side
    69,345x = 10,312,250,175.56
  5. Step 5: Solve for x
    x = 10,312,250,175.56/69,345
  6. Step 6: Final answer
    x = 148,709.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.