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Finding the Third Proportional to 55,661.50 and 83,492.50

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Solution

The third proportional to 55,661.50 and 83,492.50 is: 125,239.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,661.50 : 83,492.50 = 83,492.50 : x
  2. Step 2: Convert to fraction form
    55,661.50/83,492.50 = 83,492.50/x
  3. Step 3: Cross multiply
    55,661.50x = 83,492.50 × 83,492.50
  4. Step 4: Simplify right side
    55,661.50x = 6,970,997,556.25
  5. Step 5: Solve for x
    x = 6,970,997,556.25/55,661.50
  6. Step 6: Final answer
    x = 125,239.13

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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.