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Finding the Third Proportional to 53,623.50 and 114,371

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Solution

The third proportional to 53,623.50 and 114,371 is: 243,936.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,623.50 : 114,371 = 114,371 : x
  2. Step 2: Convert to fraction form
    53,623.50/114,371 = 114,371/x
  3. Step 3: Cross multiply
    53,623.50x = 114,371 × 114,371
  4. Step 4: Simplify right side
    53,623.50x = 13,080,725,641
  5. Step 5: Solve for x
    x = 13,080,725,641/53,623.50
  6. Step 6: Final answer
    x = 243,936.44

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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.