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Finding the Third Proportional to 117,564 and 171,313

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Solution

The third proportional to 117,564 and 171,313 is: 249,635.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,564 : 171,313 = 171,313 : x
  2. Step 2: Convert to fraction form
    117,564/171,313 = 171,313/x
  3. Step 3: Cross multiply
    117,564x = 171,313 × 171,313
  4. Step 4: Simplify right side
    117,564x = 29,348,143,969
  5. Step 5: Solve for x
    x = 29,348,143,969/117,564
  6. Step 6: Final answer
    x = 249,635.47

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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.