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Finding the Third Proportional to 53,430 and 114,270

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Solution

The third proportional to 53,430 and 114,270 is: 244,387.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,430 : 114,270 = 114,270 : x
  2. Step 2: Convert to fraction form
    53,430/114,270 = 114,270/x
  3. Step 3: Cross multiply
    53,430x = 114,270 × 114,270
  4. Step 4: Simplify right side
    53,430x = 13,057,632,900
  5. Step 5: Solve for x
    x = 13,057,632,900/53,430
  6. Step 6: Final answer
    x = 244,387.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.