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Finding the Third Proportional to 53,570 and 102,278

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Solution

The third proportional to 53,570 and 102,278 is: 195,273.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,570 : 102,278 = 102,278 : x
  2. Step 2: Convert to fraction form
    53,570/102,278 = 102,278/x
  3. Step 3: Cross multiply
    53,570x = 102,278 × 102,278
  4. Step 4: Simplify right side
    53,570x = 10,460,789,284
  5. Step 5: Solve for x
    x = 10,460,789,284/53,570
  6. Step 6: Final answer
    x = 195,273.27

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.