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Finding the Third Proportional to 96,434 and 146,011

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Solution

The third proportional to 96,434 and 146,011 is: 221,075.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,434 : 146,011 = 146,011 : x
  2. Step 2: Convert to fraction form
    96,434/146,011 = 146,011/x
  3. Step 3: Cross multiply
    96,434x = 146,011 × 146,011
  4. Step 4: Simplify right side
    96,434x = 21,319,212,121
  5. Step 5: Solve for x
    x = 21,319,212,121/96,434
  6. Step 6: Final answer
    x = 221,075.68

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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.