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Finding the Third Proportional to 54,628.88 and 85,838.63

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Solution

The third proportional to 54,628.88 and 85,838.63 is: 134,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,628.88 : 85,838.63 = 85,838.63 : x
  2. Step 2: Convert to fraction form
    54,628.88/85,838.63 = 85,838.63/x
  3. Step 3: Cross multiply
    54,628.88x = 85,838.63 × 85,838.63
  4. Step 4: Simplify right side
    54,628.88x = 7,368,269,541.89
  5. Step 5: Solve for x
    x = 7,368,269,541.89/54,628.88
  6. Step 6: Final answer
    x = 134,878.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.