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Finding the Third Proportional to 53,870 and 114,549

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Solution

The third proportional to 53,870 and 114,549 is: 243,576.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,870 : 114,549 = 114,549 : x
  2. Step 2: Convert to fraction form
    53,870/114,549 = 114,549/x
  3. Step 3: Cross multiply
    53,870x = 114,549 × 114,549
  4. Step 4: Simplify right side
    53,870x = 13,121,473,401
  5. Step 5: Solve for x
    x = 13,121,473,401/53,870
  6. Step 6: Final answer
    x = 243,576.64

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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.