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Finding the Third Proportional to 42,810.19 and 68,178.94

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Solution

The third proportional to 42,810.19 and 68,178.94 is: 108,580.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,810.19 : 68,178.94 = 68,178.94 : x
  2. Step 2: Convert to fraction form
    42,810.19/68,178.94 = 68,178.94/x
  3. Step 3: Cross multiply
    42,810.19x = 68,178.94 × 68,178.94
  4. Step 4: Simplify right side
    42,810.19x = 4,648,367,518.63
  5. Step 5: Solve for x
    x = 4,648,367,518.63/42,810.19
  6. Step 6: Final answer
    x = 108,580.87

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.