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Finding the Third Proportional to 103,955 and 160,901

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Solution

The third proportional to 103,955 and 160,901 is: 249,041.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,955 : 160,901 = 160,901 : x
  2. Step 2: Convert to fraction form
    103,955/160,901 = 160,901/x
  3. Step 3: Cross multiply
    103,955x = 160,901 × 160,901
  4. Step 4: Simplify right side
    103,955x = 25,889,131,801
  5. Step 5: Solve for x
    x = 25,889,131,801/103,955
  6. Step 6: Final answer
    x = 249,041.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.