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Finding the Third Proportional to 64,385 and 102,449.50

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Solution

The third proportional to 64,385 and 102,449.50 is: 163,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,385 : 102,449.50 = 102,449.50 : x
  2. Step 2: Convert to fraction form
    64,385/102,449.50 = 102,449.50/x
  3. Step 3: Cross multiply
    64,385x = 102,449.50 × 102,449.50
  4. Step 4: Simplify right side
    64,385x = 10,495,900,050.25
  5. Step 5: Solve for x
    x = 10,495,900,050.25/64,385
  6. Step 6: Final answer
    x = 163,017.78

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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.