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Finding the Third Proportional to 77,608 and 123,094.50

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Solution

The third proportional to 77,608 and 123,094.50 is: 195,240.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,608 : 123,094.50 = 123,094.50 : x
  2. Step 2: Convert to fraction form
    77,608/123,094.50 = 123,094.50/x
  3. Step 3: Cross multiply
    77,608x = 123,094.50 × 123,094.50
  4. Step 4: Simplify right side
    77,608x = 15,152,255,930.25
  5. Step 5: Solve for x
    x = 15,152,255,930.25/77,608
  6. Step 6: Final answer
    x = 195,240.90

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.