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Finding the Third Proportional to 52,801.88 and 81,050.63

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Solution

The third proportional to 52,801.88 and 81,050.63 is: 124,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,801.88 : 81,050.63 = 81,050.63 : x
  2. Step 2: Convert to fraction form
    52,801.88/81,050.63 = 81,050.63/x
  3. Step 3: Cross multiply
    52,801.88x = 81,050.63 × 81,050.63
  4. Step 4: Simplify right side
    52,801.88x = 6,569,203,812.89
  5. Step 5: Solve for x
    x = 6,569,203,812.89/52,801.88
  6. Step 6: Final answer
    x = 124,412.32

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.