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Finding the Third Proportional to 53,571 and 117,354

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Solution

The third proportional to 53,571 and 117,354 is: 257,078.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,571 : 117,354 = 117,354 : x
  2. Step 2: Convert to fraction form
    53,571/117,354 = 117,354/x
  3. Step 3: Cross multiply
    53,571x = 117,354 × 117,354
  4. Step 4: Simplify right side
    53,571x = 13,771,961,316
  5. Step 5: Solve for x
    x = 13,771,961,316/53,571
  6. Step 6: Final answer
    x = 257,078.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.