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Finding the Third Proportional to 66,559.50 and 144,783

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Solution

The third proportional to 66,559.50 and 144,783 is: 314,938.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,559.50 : 144,783 = 144,783 : x
  2. Step 2: Convert to fraction form
    66,559.50/144,783 = 144,783/x
  3. Step 3: Cross multiply
    66,559.50x = 144,783 × 144,783
  4. Step 4: Simplify right side
    66,559.50x = 20,962,117,089
  5. Step 5: Solve for x
    x = 20,962,117,089/66,559.50
  6. Step 6: Final answer
    x = 314,938.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.