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Finding the Third Proportional to 114,911 and 160,726

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Solution

The third proportional to 114,911 and 160,726 is: 224,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,911 : 160,726 = 160,726 : x
  2. Step 2: Convert to fraction form
    114,911/160,726 = 160,726/x
  3. Step 3: Cross multiply
    114,911x = 160,726 × 160,726
  4. Step 4: Simplify right side
    114,911x = 25,832,847,076
  5. Step 5: Solve for x
    x = 25,832,847,076/114,911
  6. Step 6: Final answer
    x = 224,807.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.