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Finding the Third Proportional to 77,359 and 123,090.50

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Solution

The third proportional to 77,359 and 123,090.50 is: 195,856.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,359 : 123,090.50 = 123,090.50 : x
  2. Step 2: Convert to fraction form
    77,359/123,090.50 = 123,090.50/x
  3. Step 3: Cross multiply
    77,359x = 123,090.50 × 123,090.50
  4. Step 4: Simplify right side
    77,359x = 15,151,271,190.25
  5. Step 5: Solve for x
    x = 15,151,271,190.25/77,359
  6. Step 6: Final answer
    x = 195,856.61

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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.