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Finding the Third Proportional to 72,827 and 98,394.50

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Solution

The third proportional to 72,827 and 98,394.50 is: 132,938.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,827 : 98,394.50 = 98,394.50 : x
  2. Step 2: Convert to fraction form
    72,827/98,394.50 = 98,394.50/x
  3. Step 3: Cross multiply
    72,827x = 98,394.50 × 98,394.50
  4. Step 4: Simplify right side
    72,827x = 9,681,477,630.25
  5. Step 5: Solve for x
    x = 9,681,477,630.25/72,827
  6. Step 6: Final answer
    x = 132,938.03

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.