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Finding the Third Proportional to 66,826 and 98,053

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Solution

The third proportional to 66,826 and 98,053 is: 143,872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,826 : 98,053 = 98,053 : x
  2. Step 2: Convert to fraction form
    66,826/98,053 = 98,053/x
  3. Step 3: Cross multiply
    66,826x = 98,053 × 98,053
  4. Step 4: Simplify right side
    66,826x = 9,614,390,809
  5. Step 5: Solve for x
    x = 9,614,390,809/66,826
  6. Step 6: Final answer
    x = 143,872.01

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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.