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Finding the Third Proportional to 57,585.94 and 88,839.28

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Solution

The third proportional to 57,585.94 and 88,839.28 is: 137,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,585.94 : 88,839.28 = 88,839.28 : x
  2. Step 2: Convert to fraction form
    57,585.94/88,839.28 = 88,839.28/x
  3. Step 3: Cross multiply
    57,585.94x = 88,839.28 × 88,839.28
  4. Step 4: Simplify right side
    57,585.94x = 7,892,417,893.02
  5. Step 5: Solve for x
    x = 7,892,417,893.02/57,585.94
  6. Step 6: Final answer
    x = 137,054.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.