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Finding the Third Proportional to 60,018 and 96,678

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Solution

The third proportional to 60,018 and 96,678 is: 155,730.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,018 : 96,678 = 96,678 : x
  2. Step 2: Convert to fraction form
    60,018/96,678 = 96,678/x
  3. Step 3: Cross multiply
    60,018x = 96,678 × 96,678
  4. Step 4: Simplify right side
    60,018x = 9,346,635,684
  5. Step 5: Solve for x
    x = 9,346,635,684/60,018
  6. Step 6: Final answer
    x = 155,730.54

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.