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Finding the Third Proportional to 57,607.50 and 77,419.50

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Solution

The third proportional to 57,607.50 and 77,419.50 is: 104,045.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,607.50 : 77,419.50 = 77,419.50 : x
  2. Step 2: Convert to fraction form
    57,607.50/77,419.50 = 77,419.50/x
  3. Step 3: Cross multiply
    57,607.50x = 77,419.50 × 77,419.50
  4. Step 4: Simplify right side
    57,607.50x = 5,993,778,980.25
  5. Step 5: Solve for x
    x = 5,993,778,980.25/57,607.50
  6. Step 6: Final answer
    x = 104,045.12

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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.