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Finding the Third Proportional to 73,878.19 and 111,364.31

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Solution

The third proportional to 73,878.19 and 111,364.31 is: 167,871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,878.19 : 111,364.31 = 111,364.31 : x
  2. Step 2: Convert to fraction form
    73,878.19/111,364.31 = 111,364.31/x
  3. Step 3: Cross multiply
    73,878.19x = 111,364.31 × 111,364.31
  4. Step 4: Simplify right side
    73,878.19x = 12,402,010,098.60
  5. Step 5: Solve for x
    x = 12,402,010,098.60/73,878.19
  6. Step 6: Final answer
    x = 167,871.07

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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.