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Finding the Third Proportional to 108,007 and 148,323

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Solution

The third proportional to 108,007 and 148,323 is: 203,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,007 : 148,323 = 148,323 : x
  2. Step 2: Convert to fraction form
    108,007/148,323 = 148,323/x
  3. Step 3: Cross multiply
    108,007x = 148,323 × 148,323
  4. Step 4: Simplify right side
    108,007x = 21,999,712,329
  5. Step 5: Solve for x
    x = 21,999,712,329/108,007
  6. Step 6: Final answer
    x = 203,687.84

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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.