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Finding the Third Proportional to 60,105 and 139,140

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Solution

The third proportional to 60,105 and 139,140 is: 322,101.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,105 : 139,140 = 139,140 : x
  2. Step 2: Convert to fraction form
    60,105/139,140 = 139,140/x
  3. Step 3: Cross multiply
    60,105x = 139,140 × 139,140
  4. Step 4: Simplify right side
    60,105x = 19,359,939,600
  5. Step 5: Solve for x
    x = 19,359,939,600/60,105
  6. Step 6: Final answer
    x = 322,101.98

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.