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Finding the Third Proportional to 64,935 and 98,104.50

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Solution

The third proportional to 64,935 and 98,104.50 is: 148,217.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,935 : 98,104.50 = 98,104.50 : x
  2. Step 2: Convert to fraction form
    64,935/98,104.50 = 98,104.50/x
  3. Step 3: Cross multiply
    64,935x = 98,104.50 × 98,104.50
  4. Step 4: Simplify right side
    64,935x = 9,624,492,920.25
  5. Step 5: Solve for x
    x = 9,624,492,920.25/64,935
  6. Step 6: Final answer
    x = 148,217.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.