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Finding the Third Proportional to 40,119 and 61,671

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Solution

The third proportional to 40,119 and 61,671 is: 94,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,119 : 61,671 = 61,671 : x
  2. Step 2: Convert to fraction form
    40,119/61,671 = 61,671/x
  3. Step 3: Cross multiply
    40,119x = 61,671 × 61,671
  4. Step 4: Simplify right side
    40,119x = 3,803,312,241
  5. Step 5: Solve for x
    x = 3,803,312,241/40,119
  6. Step 6: Final answer
    x = 94,800.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.