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Finding the Third Proportional to 114,411.75 and 169,281

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Solution

The third proportional to 114,411.75 and 169,281 is: 250,464.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,411.75 : 169,281 = 169,281 : x
  2. Step 2: Convert to fraction form
    114,411.75/169,281 = 169,281/x
  3. Step 3: Cross multiply
    114,411.75x = 169,281 × 169,281
  4. Step 4: Simplify right side
    114,411.75x = 28,656,056,961
  5. Step 5: Solve for x
    x = 28,656,056,961/114,411.75
  6. Step 6: Final answer
    x = 250,464.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.