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Finding the Third Proportional to 43,157 and 58,308.50

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Solution

The third proportional to 43,157 and 58,308.50 is: 78,779.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,157 : 58,308.50 = 58,308.50 : x
  2. Step 2: Convert to fraction form
    43,157/58,308.50 = 58,308.50/x
  3. Step 3: Cross multiply
    43,157x = 58,308.50 × 58,308.50
  4. Step 4: Simplify right side
    43,157x = 3,399,881,172.25
  5. Step 5: Solve for x
    x = 3,399,881,172.25/43,157
  6. Step 6: Final answer
    x = 78,779.37

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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.