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Finding the Third Proportional to 103,284 and 145,440

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Solution

The third proportional to 103,284 and 145,440 is: 204,802.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,284 : 145,440 = 145,440 : x
  2. Step 2: Convert to fraction form
    103,284/145,440 = 145,440/x
  3. Step 3: Cross multiply
    103,284x = 145,440 × 145,440
  4. Step 4: Simplify right side
    103,284x = 21,152,793,600
  5. Step 5: Solve for x
    x = 21,152,793,600/103,284
  6. Step 6: Final answer
    x = 204,802.23

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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.