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Finding the Third Proportional to 103,332 and 146,255

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Solution

The third proportional to 103,332 and 146,255 is: 207,007.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,332 : 146,255 = 146,255 : x
  2. Step 2: Convert to fraction form
    103,332/146,255 = 146,255/x
  3. Step 3: Cross multiply
    103,332x = 146,255 × 146,255
  4. Step 4: Simplify right side
    103,332x = 21,390,525,025
  5. Step 5: Solve for x
    x = 21,390,525,025/103,332
  6. Step 6: Final answer
    x = 207,007.75

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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.