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Finding the Third Proportional to 61,856 and 96,018

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Solution

The third proportional to 61,856 and 96,018 is: 149,047.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,856 : 96,018 = 96,018 : x
  2. Step 2: Convert to fraction form
    61,856/96,018 = 96,018/x
  3. Step 3: Cross multiply
    61,856x = 96,018 × 96,018
  4. Step 4: Simplify right side
    61,856x = 9,219,456,324
  5. Step 5: Solve for x
    x = 9,219,456,324/61,856
  6. Step 6: Final answer
    x = 149,047.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.