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Finding the Third Proportional to 103,360 and 146,293

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Solution

The third proportional to 103,360 and 146,293 is: 207,059.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,360 : 146,293 = 146,293 : x
  2. Step 2: Convert to fraction form
    103,360/146,293 = 146,293/x
  3. Step 3: Cross multiply
    103,360x = 146,293 × 146,293
  4. Step 4: Simplify right side
    103,360x = 21,401,641,849
  5. Step 5: Solve for x
    x = 21,401,641,849/103,360
  6. Step 6: Final answer
    x = 207,059.23

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