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Finding the Third Proportional to 53,031 and 114,363

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Solution

The third proportional to 53,031 and 114,363 is: 246,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,031 : 114,363 = 114,363 : x
  2. Step 2: Convert to fraction form
    53,031/114,363 = 114,363/x
  3. Step 3: Cross multiply
    53,031x = 114,363 × 114,363
  4. Step 4: Simplify right side
    53,031x = 13,078,895,769
  5. Step 5: Solve for x
    x = 13,078,895,769/53,031
  6. Step 6: Final answer
    x = 246,627.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.