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Finding the Third Proportional to 114,994 and 252,128

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Solution

The third proportional to 114,994 and 252,128 is: 552,798.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,994 : 252,128 = 252,128 : x
  2. Step 2: Convert to fraction form
    114,994/252,128 = 252,128/x
  3. Step 3: Cross multiply
    114,994x = 252,128 × 252,128
  4. Step 4: Simplify right side
    114,994x = 63,568,528,384
  5. Step 5: Solve for x
    x = 63,568,528,384/114,994
  6. Step 6: Final answer
    x = 552,798.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.