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Finding the Third Proportional to 77,018 and 112,857

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Solution

The third proportional to 77,018 and 112,857 is: 165,373.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,018 : 112,857 = 112,857 : x
  2. Step 2: Convert to fraction form
    77,018/112,857 = 112,857/x
  3. Step 3: Cross multiply
    77,018x = 112,857 × 112,857
  4. Step 4: Simplify right side
    77,018x = 12,736,702,449
  5. Step 5: Solve for x
    x = 12,736,702,449/77,018
  6. Step 6: Final answer
    x = 165,373.06

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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.