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Finding the Third Proportional to 66,548 and 97,874

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Solution

The third proportional to 66,548 and 97,874 is: 143,946.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,548 : 97,874 = 97,874 : x
  2. Step 2: Convert to fraction form
    66,548/97,874 = 97,874/x
  3. Step 3: Cross multiply
    66,548x = 97,874 × 97,874
  4. Step 4: Simplify right side
    66,548x = 9,579,319,876
  5. Step 5: Solve for x
    x = 9,579,319,876/66,548
  6. Step 6: Final answer
    x = 143,946.02

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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.