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Finding the Third Proportional to 64,815 and 93,670.50

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Solution

The third proportional to 64,815 and 93,670.50 is: 135,372.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,815 : 93,670.50 = 93,670.50 : x
  2. Step 2: Convert to fraction form
    64,815/93,670.50 = 93,670.50/x
  3. Step 3: Cross multiply
    64,815x = 93,670.50 × 93,670.50
  4. Step 4: Simplify right side
    64,815x = 8,774,162,570.25
  5. Step 5: Solve for x
    x = 8,774,162,570.25/64,815
  6. Step 6: Final answer
    x = 135,372.41

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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.