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Finding the Third Proportional to 105,955 and 160,013

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Solution

The third proportional to 105,955 and 160,013 is: 241,651.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,955 : 160,013 = 160,013 : x
  2. Step 2: Convert to fraction form
    105,955/160,013 = 160,013/x
  3. Step 3: Cross multiply
    105,955x = 160,013 × 160,013
  4. Step 4: Simplify right side
    105,955x = 25,604,160,169
  5. Step 5: Solve for x
    x = 25,604,160,169/105,955
  6. Step 6: Final answer
    x = 241,651.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.