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Finding the Third Proportional to 51,994.50 and 78,457

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Solution

The third proportional to 51,994.50 and 78,457 is: 118,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,994.50 : 78,457 = 78,457 : x
  2. Step 2: Convert to fraction form
    51,994.50/78,457 = 78,457/x
  3. Step 3: Cross multiply
    51,994.50x = 78,457 × 78,457
  4. Step 4: Simplify right side
    51,994.50x = 6,155,500,849
  5. Step 5: Solve for x
    x = 6,155,500,849/51,994.50
  6. Step 6: Final answer
    x = 118,387.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.