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Finding the Third Proportional to 69,356 and 104,646

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Solution

The third proportional to 69,356 and 104,646 is: 157,892.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,356 : 104,646 = 104,646 : x
  2. Step 2: Convert to fraction form
    69,356/104,646 = 104,646/x
  3. Step 3: Cross multiply
    69,356x = 104,646 × 104,646
  4. Step 4: Simplify right side
    69,356x = 10,950,785,316
  5. Step 5: Solve for x
    x = 10,950,785,316/69,356
  6. Step 6: Final answer
    x = 157,892.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.