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Finding the Third Proportional to 108,003 and 148,319

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Solution

The third proportional to 108,003 and 148,319 is: 203,684.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,003 : 148,319 = 148,319 : x
  2. Step 2: Convert to fraction form
    108,003/148,319 = 148,319/x
  3. Step 3: Cross multiply
    108,003x = 148,319 × 148,319
  4. Step 4: Simplify right side
    108,003x = 21,998,525,761
  5. Step 5: Solve for x
    x = 21,998,525,761/108,003
  6. Step 6: Final answer
    x = 203,684.40

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.