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Finding the Third Proportional to 67,068 and 146,596.50

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Solution

The third proportional to 67,068 and 146,596.50 is: 320,429.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,068 : 146,596.50 = 146,596.50 : x
  2. Step 2: Convert to fraction form
    67,068/146,596.50 = 146,596.50/x
  3. Step 3: Cross multiply
    67,068x = 146,596.50 × 146,596.50
  4. Step 4: Simplify right side
    67,068x = 21,490,533,812.25
  5. Step 5: Solve for x
    x = 21,490,533,812.25/67,068
  6. Step 6: Final answer
    x = 320,429.02

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.