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Finding the Third Proportional to 52,160.63 and 78,485.63

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Solution

The third proportional to 52,160.63 and 78,485.63 is: 118,096.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,160.63 : 78,485.63 = 78,485.63 : x
  2. Step 2: Convert to fraction form
    52,160.63/78,485.63 = 78,485.63/x
  3. Step 3: Cross multiply
    52,160.63x = 78,485.63 × 78,485.63
  4. Step 4: Simplify right side
    52,160.63x = 6,159,993,331.64
  5. Step 5: Solve for x
    x = 6,159,993,331.64/52,160.63
  6. Step 6: Final answer
    x = 118,096.62

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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.