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Finding the Third Proportional to 66,541 and 97,863

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Solution

The third proportional to 66,541 and 97,863 is: 143,928.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,541 : 97,863 = 97,863 : x
  2. Step 2: Convert to fraction form
    66,541/97,863 = 97,863/x
  3. Step 3: Cross multiply
    66,541x = 97,863 × 97,863
  4. Step 4: Simplify right side
    66,541x = 9,577,166,769
  5. Step 5: Solve for x
    x = 9,577,166,769/66,541
  6. Step 6: Final answer
    x = 143,928.81

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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.