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Finding the Third Proportional to 64,664 and 97,084.50

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Solution

The third proportional to 64,664 and 97,084.50 is: 145,759.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,664 : 97,084.50 = 97,084.50 : x
  2. Step 2: Convert to fraction form
    64,664/97,084.50 = 97,084.50/x
  3. Step 3: Cross multiply
    64,664x = 97,084.50 × 97,084.50
  4. Step 4: Simplify right side
    64,664x = 9,425,400,140.25
  5. Step 5: Solve for x
    x = 9,425,400,140.25/64,664
  6. Step 6: Final answer
    x = 145,759.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.