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Finding the Third Proportional to 119,178 and 174,871

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Solution

The third proportional to 119,178 and 174,871 is: 256,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,178 : 174,871 = 174,871 : x
  2. Step 2: Convert to fraction form
    119,178/174,871 = 174,871/x
  3. Step 3: Cross multiply
    119,178x = 174,871 × 174,871
  4. Step 4: Simplify right side
    119,178x = 30,579,866,641
  5. Step 5: Solve for x
    x = 30,579,866,641/119,178
  6. Step 6: Final answer
    x = 256,589.86

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