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Finding the Third Proportional to 42,113.81 and 63,673.31

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Solution

The third proportional to 42,113.81 and 63,673.31 is: 96,269.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,113.81 : 63,673.31 = 63,673.31 : x
  2. Step 2: Convert to fraction form
    42,113.81/63,673.31 = 63,673.31/x
  3. Step 3: Cross multiply
    42,113.81x = 63,673.31 × 63,673.31
  4. Step 4: Simplify right side
    42,113.81x = 4,054,290,724.72
  5. Step 5: Solve for x
    x = 4,054,290,724.72/42,113.81
  6. Step 6: Final answer
    x = 96,269.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.