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Finding the Third Proportional to 53,624 and 114,370

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Solution

The third proportional to 53,624 and 114,370 is: 243,929.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,624 : 114,370 = 114,370 : x
  2. Step 2: Convert to fraction form
    53,624/114,370 = 114,370/x
  3. Step 3: Cross multiply
    53,624x = 114,370 × 114,370
  4. Step 4: Simplify right side
    53,624x = 13,080,496,900
  5. Step 5: Solve for x
    x = 13,080,496,900/53,624
  6. Step 6: Final answer
    x = 243,929.90

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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.