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Finding the Third Proportional to 63,753 and 93,684.75

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Solution

The third proportional to 63,753 and 93,684.75 is: 137,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,753 : 93,684.75 = 93,684.75 : x
  2. Step 2: Convert to fraction form
    63,753/93,684.75 = 93,684.75/x
  3. Step 3: Cross multiply
    63,753x = 93,684.75 × 93,684.75
  4. Step 4: Simplify right side
    63,753x = 8,776,832,382.56
  5. Step 5: Solve for x
    x = 8,776,832,382.56/63,753
  6. Step 6: Final answer
    x = 137,669.32

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.