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Finding the Third Proportional to 61,923 and 89,860.50

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Solution

The third proportional to 61,923 and 89,860.50 is: 130,402.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,923 : 89,860.50 = 89,860.50 : x
  2. Step 2: Convert to fraction form
    61,923/89,860.50 = 89,860.50/x
  3. Step 3: Cross multiply
    61,923x = 89,860.50 × 89,860.50
  4. Step 4: Simplify right side
    61,923x = 8,074,909,460.25
  5. Step 5: Solve for x
    x = 8,074,909,460.25/61,923
  6. Step 6: Final answer
    x = 130,402.43

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.