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Finding the Third Proportional to 61,458.75 and 84,109.50

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Solution

The third proportional to 61,458.75 and 84,109.50 is: 115,108.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,458.75 : 84,109.50 = 84,109.50 : x
  2. Step 2: Convert to fraction form
    61,458.75/84,109.50 = 84,109.50/x
  3. Step 3: Cross multiply
    61,458.75x = 84,109.50 × 84,109.50
  4. Step 4: Simplify right side
    61,458.75x = 7,074,407,990.25
  5. Step 5: Solve for x
    x = 7,074,407,990.25/61,458.75
  6. Step 6: Final answer
    x = 115,108.23

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.