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Finding the Third Proportional to 75,779.50 and 118,881

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Solution

The third proportional to 75,779.50 and 118,881 is: 186,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,779.50 : 118,881 = 118,881 : x
  2. Step 2: Convert to fraction form
    75,779.50/118,881 = 118,881/x
  3. Step 3: Cross multiply
    75,779.50x = 118,881 × 118,881
  4. Step 4: Simplify right side
    75,779.50x = 14,132,692,161
  5. Step 5: Solve for x
    x = 14,132,692,161/75,779.50
  6. Step 6: Final answer
    x = 186,497.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.