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Finding the Third Proportional to 53,503 and 126,527

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Solution

The third proportional to 53,503 and 126,527 is: 299,218.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,503 : 126,527 = 126,527 : x
  2. Step 2: Convert to fraction form
    53,503/126,527 = 126,527/x
  3. Step 3: Cross multiply
    53,503x = 126,527 × 126,527
  4. Step 4: Simplify right side
    53,503x = 16,009,081,729
  5. Step 5: Solve for x
    x = 16,009,081,729/53,503
  6. Step 6: Final answer
    x = 299,218.39

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.