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Finding the Third Proportional to 100,035 and 146,097

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Solution

The third proportional to 100,035 and 146,097 is: 213,368.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,035 : 146,097 = 146,097 : x
  2. Step 2: Convert to fraction form
    100,035/146,097 = 146,097/x
  3. Step 3: Cross multiply
    100,035x = 146,097 × 146,097
  4. Step 4: Simplify right side
    100,035x = 21,344,333,409
  5. Step 5: Solve for x
    x = 21,344,333,409/100,035
  6. Step 6: Final answer
    x = 213,368.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.