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Finding the Third Proportional to 57,398.63 and 86,316.89

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Solution

The third proportional to 57,398.63 and 86,316.89 is: 129,804.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,398.63 : 86,316.89 = 86,316.89 : x
  2. Step 2: Convert to fraction form
    57,398.63/86,316.89 = 86,316.89/x
  3. Step 3: Cross multiply
    57,398.63x = 86,316.89 × 86,316.89
  4. Step 4: Simplify right side
    57,398.63x = 7,450,605,607.17
  5. Step 5: Solve for x
    x = 7,450,605,607.17/57,398.63
  6. Step 6: Final answer
    x = 129,804.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.