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Finding the Third Proportional to 100,365.75 and 146,779.50

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Solution

The third proportional to 100,365.75 and 146,779.50 is: 214,657.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,365.75 : 146,779.50 = 146,779.50 : x
  2. Step 2: Convert to fraction form
    100,365.75/146,779.50 = 146,779.50/x
  3. Step 3: Cross multiply
    100,365.75x = 146,779.50 × 146,779.50
  4. Step 4: Simplify right side
    100,365.75x = 21,544,221,620.25
  5. Step 5: Solve for x
    x = 21,544,221,620.25/100,365.75
  6. Step 6: Final answer
    x = 214,657.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.