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Finding the Third Proportional to 53,620 and 114,604

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Solution

The third proportional to 53,620 and 114,604 is: 244,947.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,620 : 114,604 = 114,604 : x
  2. Step 2: Convert to fraction form
    53,620/114,604 = 114,604/x
  3. Step 3: Cross multiply
    53,620x = 114,604 × 114,604
  4. Step 4: Simplify right side
    53,620x = 13,134,076,816
  5. Step 5: Solve for x
    x = 13,134,076,816/53,620
  6. Step 6: Final answer
    x = 244,947.35

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.