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Finding the Third Proportional to 78,023 and 167,886

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Solution

The third proportional to 78,023 and 167,886 is: 361,248.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,023 : 167,886 = 167,886 : x
  2. Step 2: Convert to fraction form
    78,023/167,886 = 167,886/x
  3. Step 3: Cross multiply
    78,023x = 167,886 × 167,886
  4. Step 4: Simplify right side
    78,023x = 28,185,708,996
  5. Step 5: Solve for x
    x = 28,185,708,996/78,023
  6. Step 6: Final answer
    x = 361,248.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.