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Finding the Third Proportional to 66,730.50 and 144,999

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Solution

The third proportional to 66,730.50 and 144,999 is: 315,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,730.50 : 144,999 = 144,999 : x
  2. Step 2: Convert to fraction form
    66,730.50/144,999 = 144,999/x
  3. Step 3: Cross multiply
    66,730.50x = 144,999 × 144,999
  4. Step 4: Simplify right side
    66,730.50x = 21,024,710,001
  5. Step 5: Solve for x
    x = 21,024,710,001/66,730.50
  6. Step 6: Final answer
    x = 315,068.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.