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Finding the Third Proportional to 103,348.69 and 146,277.56

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Solution

The third proportional to 103,348.69 and 146,277.56 is: 207,038.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,348.69 : 146,277.56 = 146,277.56 : x
  2. Step 2: Convert to fraction form
    103,348.69/146,277.56 = 146,277.56/x
  3. Step 3: Cross multiply
    103,348.69x = 146,277.56 × 146,277.56
  4. Step 4: Simplify right side
    103,348.69x = 21,397,125,290.94
  5. Step 5: Solve for x
    x = 21,397,125,290.94/103,348.69
  6. Step 6: Final answer
    x = 207,038.19

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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.