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Finding the Third Proportional to 77,781 and 117,385.50

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Solution

The third proportional to 77,781 and 117,385.50 is: 177,155.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,781 : 117,385.50 = 117,385.50 : x
  2. Step 2: Convert to fraction form
    77,781/117,385.50 = 117,385.50/x
  3. Step 3: Cross multiply
    77,781x = 117,385.50 × 117,385.50
  4. Step 4: Simplify right side
    77,781x = 13,779,355,610.25
  5. Step 5: Solve for x
    x = 13,779,355,610.25/77,781
  6. Step 6: Final answer
    x = 177,155.80

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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.