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Finding the Third Proportional to 103,352.06 and 146,282.06

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Solution

The third proportional to 103,352.06 and 146,282.06 is: 207,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,352.06 : 146,282.06 = 146,282.06 : x
  2. Step 2: Convert to fraction form
    103,352.06/146,282.06 = 146,282.06/x
  3. Step 3: Cross multiply
    103,352.06x = 146,282.06 × 146,282.06
  4. Step 4: Simplify right side
    103,352.06x = 21,398,441,809.25
  5. Step 5: Solve for x
    x = 21,398,441,809.25/103,352.06
  6. Step 6: Final answer
    x = 207,044.17

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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.