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Finding the Third Proportional to 70,356 and 148,001

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Solution

The third proportional to 70,356 and 148,001 is: 311,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,356 : 148,001 = 148,001 : x
  2. Step 2: Convert to fraction form
    70,356/148,001 = 148,001/x
  3. Step 3: Cross multiply
    70,356x = 148,001 × 148,001
  4. Step 4: Simplify right side
    70,356x = 21,904,296,001
  5. Step 5: Solve for x
    x = 21,904,296,001/70,356
  6. Step 6: Final answer
    x = 311,335.15

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.