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Finding the Third Proportional to 103,242 and 145,382

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Solution

The third proportional to 103,242 and 145,382 is: 204,722.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,242 : 145,382 = 145,382 : x
  2. Step 2: Convert to fraction form
    103,242/145,382 = 145,382/x
  3. Step 3: Cross multiply
    103,242x = 145,382 × 145,382
  4. Step 4: Simplify right side
    103,242x = 21,135,925,924
  5. Step 5: Solve for x
    x = 21,135,925,924/103,242
  6. Step 6: Final answer
    x = 204,722.17

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.