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Finding the Third Proportional to 51,341 and 78,865.50

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Solution

The third proportional to 51,341 and 78,865.50 is: 121,146.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,341 : 78,865.50 = 78,865.50 : x
  2. Step 2: Convert to fraction form
    51,341/78,865.50 = 78,865.50/x
  3. Step 3: Cross multiply
    51,341x = 78,865.50 × 78,865.50
  4. Step 4: Simplify right side
    51,341x = 6,219,767,090.25
  5. Step 5: Solve for x
    x = 6,219,767,090.25/51,341
  6. Step 6: Final answer
    x = 121,146.20

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