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Finding the Third Proportional to 67,056.61 and 146,568.87

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Solution

The third proportional to 67,056.61 and 146,568.87 is: 320,362.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,056.61 : 146,568.87 = 146,568.87 : x
  2. Step 2: Convert to fraction form
    67,056.61/146,568.87 = 146,568.87/x
  3. Step 3: Cross multiply
    67,056.61x = 146,568.87 × 146,568.87
  4. Step 4: Simplify right side
    67,056.61x = 21,482,432,828.63
  5. Step 5: Solve for x
    x = 21,482,432,828.63/67,056.61
  6. Step 6: Final answer
    x = 320,362.65

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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.