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Finding the Third Proportional to 114,064 and 170,120

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Solution

The third proportional to 114,064 and 170,120 is: 253,724.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,064 : 170,120 = 170,120 : x
  2. Step 2: Convert to fraction form
    114,064/170,120 = 170,120/x
  3. Step 3: Cross multiply
    114,064x = 170,120 × 170,120
  4. Step 4: Simplify right side
    114,064x = 28,940,814,400
  5. Step 5: Solve for x
    x = 28,940,814,400/114,064
  6. Step 6: Final answer
    x = 253,724.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.