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Finding the Third Proportional to 66,855 and 98,284.50

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Solution

The third proportional to 66,855 and 98,284.50 is: 144,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,855 : 98,284.50 = 98,284.50 : x
  2. Step 2: Convert to fraction form
    66,855/98,284.50 = 98,284.50/x
  3. Step 3: Cross multiply
    66,855x = 98,284.50 × 98,284.50
  4. Step 4: Simplify right side
    66,855x = 9,659,842,940.25
  5. Step 5: Solve for x
    x = 9,659,842,940.25/66,855
  6. Step 6: Final answer
    x = 144,489.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.