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Finding the Third Proportional to 53,506 and 114,419

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Solution

The third proportional to 53,506 and 114,419 is: 244,677.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,506 : 114,419 = 114,419 : x
  2. Step 2: Convert to fraction form
    53,506/114,419 = 114,419/x
  3. Step 3: Cross multiply
    53,506x = 114,419 × 114,419
  4. Step 4: Simplify right side
    53,506x = 13,091,707,561
  5. Step 5: Solve for x
    x = 13,091,707,561/53,506
  6. Step 6: Final answer
    x = 244,677.37

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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.