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Finding the Third Proportional to 96,051.25 and 210,786

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Solution

The third proportional to 96,051.25 and 210,786 is: 462,573.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,051.25 : 210,786 = 210,786 : x
  2. Step 2: Convert to fraction form
    96,051.25/210,786 = 210,786/x
  3. Step 3: Cross multiply
    96,051.25x = 210,786 × 210,786
  4. Step 4: Simplify right side
    96,051.25x = 44,430,737,796
  5. Step 5: Solve for x
    x = 44,430,737,796/96,051.25
  6. Step 6: Final answer
    x = 462,573.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.