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Finding the Third Proportional to 52,190 and 114,224

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Solution

The third proportional to 52,190 and 114,224 is: 249,992.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,190 : 114,224 = 114,224 : x
  2. Step 2: Convert to fraction form
    52,190/114,224 = 114,224/x
  3. Step 3: Cross multiply
    52,190x = 114,224 × 114,224
  4. Step 4: Simplify right side
    52,190x = 13,047,122,176
  5. Step 5: Solve for x
    x = 13,047,122,176/52,190
  6. Step 6: Final answer
    x = 249,992.76

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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.