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Finding the Third Proportional to 53,534 and 114,476

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Solution

The third proportional to 53,534 and 114,476 is: 244,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,534 : 114,476 = 114,476 : x
  2. Step 2: Convert to fraction form
    53,534/114,476 = 114,476/x
  3. Step 3: Cross multiply
    53,534x = 114,476 × 114,476
  4. Step 4: Simplify right side
    53,534x = 13,104,754,576
  5. Step 5: Solve for x
    x = 13,104,754,576/53,534
  6. Step 6: Final answer
    x = 244,793.11

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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.