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Finding the Third Proportional to 53,461 and 114,820

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Solution

The third proportional to 53,461 and 114,820 is: 246,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,461 : 114,820 = 114,820 : x
  2. Step 2: Convert to fraction form
    53,461/114,820 = 114,820/x
  3. Step 3: Cross multiply
    53,461x = 114,820 × 114,820
  4. Step 4: Simplify right side
    53,461x = 13,183,632,400
  5. Step 5: Solve for x
    x = 13,183,632,400/53,461
  6. Step 6: Final answer
    x = 246,602.80

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.