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Finding the Third Proportional to 52,941.50 and 84,272.50

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Solution

The third proportional to 52,941.50 and 84,272.50 is: 134,145.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,941.50 : 84,272.50 = 84,272.50 : x
  2. Step 2: Convert to fraction form
    52,941.50/84,272.50 = 84,272.50/x
  3. Step 3: Cross multiply
    52,941.50x = 84,272.50 × 84,272.50
  4. Step 4: Simplify right side
    52,941.50x = 7,101,854,256.25
  5. Step 5: Solve for x
    x = 7,101,854,256.25/52,941.50
  6. Step 6: Final answer
    x = 134,145.32

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.