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Finding the Third Proportional to 78,397.88 and 105,340.50

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Solution

The third proportional to 78,397.88 and 105,340.50 is: 141,542.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,397.88 : 105,340.50 = 105,340.50 : x
  2. Step 2: Convert to fraction form
    78,397.88/105,340.50 = 105,340.50/x
  3. Step 3: Cross multiply
    78,397.88x = 105,340.50 × 105,340.50
  4. Step 4: Simplify right side
    78,397.88x = 11,096,620,940.25
  5. Step 5: Solve for x
    x = 11,096,620,940.25/78,397.88
  6. Step 6: Final answer
    x = 141,542.37

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.