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Finding the Third Proportional to 103,345.03 and 146,272.92

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Solution

The third proportional to 103,345.03 and 146,272.92 is: 207,032.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,345.03 : 146,272.92 = 146,272.92 : x
  2. Step 2: Convert to fraction form
    103,345.03/146,272.92 = 146,272.92/x
  3. Step 3: Cross multiply
    103,345.03x = 146,272.92 × 146,272.92
  4. Step 4: Simplify right side
    103,345.03x = 21,395,767,673.85
  5. Step 5: Solve for x
    x = 21,395,767,673.85/103,345.03
  6. Step 6: Final answer
    x = 207,032.38

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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.