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Finding the Third Proportional to 59,412 and 127,752

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Solution

The third proportional to 59,412 and 127,752 is: 274,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,412 : 127,752 = 127,752 : x
  2. Step 2: Convert to fraction form
    59,412/127,752 = 127,752/x
  3. Step 3: Cross multiply
    59,412x = 127,752 × 127,752
  4. Step 4: Simplify right side
    59,412x = 16,320,573,504
  5. Step 5: Solve for x
    x = 16,320,573,504/59,412
  6. Step 6: Final answer
    x = 274,701.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.