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Finding the Third Proportional to 68,712 and 97,996

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Solution

The third proportional to 68,712 and 97,996 is: 139,760.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,712 : 97,996 = 97,996 : x
  2. Step 2: Convert to fraction form
    68,712/97,996 = 97,996/x
  3. Step 3: Cross multiply
    68,712x = 97,996 × 97,996
  4. Step 4: Simplify right side
    68,712x = 9,603,216,016
  5. Step 5: Solve for x
    x = 9,603,216,016/68,712
  6. Step 6: Final answer
    x = 139,760.39

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.