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Finding the Third Proportional to 66,852 and 98,280

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Solution

The third proportional to 66,852 and 98,280 is: 144,482.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,852 : 98,280 = 98,280 : x
  2. Step 2: Convert to fraction form
    66,852/98,280 = 98,280/x
  3. Step 3: Cross multiply
    66,852x = 98,280 × 98,280
  4. Step 4: Simplify right side
    66,852x = 9,658,958,400
  5. Step 5: Solve for x
    x = 9,658,958,400/66,852
  6. Step 6: Final answer
    x = 144,482.71

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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.