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Finding the Third Proportional to 103,687 and 146,841

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Solution

The third proportional to 103,687 and 146,841 is: 207,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,687 : 146,841 = 146,841 : x
  2. Step 2: Convert to fraction form
    103,687/146,841 = 146,841/x
  3. Step 3: Cross multiply
    103,687x = 146,841 × 146,841
  4. Step 4: Simplify right side
    103,687x = 21,562,279,281
  5. Step 5: Solve for x
    x = 21,562,279,281/103,687
  6. Step 6: Final answer
    x = 207,955.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.