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Finding the Third Proportional to 134,752 and 186,880

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Solution

The third proportional to 134,752 and 186,880 is: 259,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,752 : 186,880 = 186,880 : x
  2. Step 2: Convert to fraction form
    134,752/186,880 = 186,880/x
  3. Step 3: Cross multiply
    134,752x = 186,880 × 186,880
  4. Step 4: Simplify right side
    134,752x = 34,924,134,400
  5. Step 5: Solve for x
    x = 34,924,134,400/134,752
  6. Step 6: Final answer
    x = 259,173.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.