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Finding the Third Proportional to 66,537 and 97,858

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Solution

The third proportional to 66,537 and 97,858 is: 143,922.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,537 : 97,858 = 97,858 : x
  2. Step 2: Convert to fraction form
    66,537/97,858 = 97,858/x
  3. Step 3: Cross multiply
    66,537x = 97,858 × 97,858
  4. Step 4: Simplify right side
    66,537x = 9,576,188,164
  5. Step 5: Solve for x
    x = 9,576,188,164/66,537
  6. Step 6: Final answer
    x = 143,922.75

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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.