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Finding the Third Proportional to 70,359 and 148,007

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Solution

The third proportional to 70,359 and 148,007 is: 311,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,359 : 148,007 = 148,007 : x
  2. Step 2: Convert to fraction form
    70,359/148,007 = 148,007/x
  3. Step 3: Cross multiply
    70,359x = 148,007 × 148,007
  4. Step 4: Simplify right side
    70,359x = 21,906,072,049
  5. Step 5: Solve for x
    x = 21,906,072,049/70,359
  6. Step 6: Final answer
    x = 311,347.12

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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.