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Finding the Third Proportional to 97,478 and 146,937

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Solution

The third proportional to 97,478 and 146,937 is: 221,490.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,478 : 146,937 = 146,937 : x
  2. Step 2: Convert to fraction form
    97,478/146,937 = 146,937/x
  3. Step 3: Cross multiply
    97,478x = 146,937 × 146,937
  4. Step 4: Simplify right side
    97,478x = 21,590,481,969
  5. Step 5: Solve for x
    x = 21,590,481,969/97,478
  6. Step 6: Final answer
    x = 221,490.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.