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Finding the Third Proportional to 62,541 and 144,661.50

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Solution

The third proportional to 62,541 and 144,661.50 is: 334,611.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,541 : 144,661.50 = 144,661.50 : x
  2. Step 2: Convert to fraction form
    62,541/144,661.50 = 144,661.50/x
  3. Step 3: Cross multiply
    62,541x = 144,661.50 × 144,661.50
  4. Step 4: Simplify right side
    62,541x = 20,926,949,582.25
  5. Step 5: Solve for x
    x = 20,926,949,582.25/62,541
  6. Step 6: Final answer
    x = 334,611.69

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.