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Finding the Third Proportional to 53,650 and 114,230

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Solution

The third proportional to 53,650 and 114,230 is: 243,215.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,650 : 114,230 = 114,230 : x
  2. Step 2: Convert to fraction form
    53,650/114,230 = 114,230/x
  3. Step 3: Cross multiply
    53,650x = 114,230 × 114,230
  4. Step 4: Simplify right side
    53,650x = 13,048,492,900
  5. Step 5: Solve for x
    x = 13,048,492,900/53,650
  6. Step 6: Final answer
    x = 243,215.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.