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Finding the Third Proportional to 61,408 and 94,824.50

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Solution

The third proportional to 61,408 and 94,824.50 is: 146,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,408 : 94,824.50 = 94,824.50 : x
  2. Step 2: Convert to fraction form
    61,408/94,824.50 = 94,824.50/x
  3. Step 3: Cross multiply
    61,408x = 94,824.50 × 94,824.50
  4. Step 4: Simplify right side
    61,408x = 8,991,685,800.25
  5. Step 5: Solve for x
    x = 8,991,685,800.25/61,408
  6. Step 6: Final answer
    x = 146,425.32

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.