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Finding the Third Proportional to 68,842 and 97,455

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Solution

The third proportional to 68,842 and 97,455 is: 137,960.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,842 : 97,455 = 97,455 : x
  2. Step 2: Convert to fraction form
    68,842/97,455 = 97,455/x
  3. Step 3: Cross multiply
    68,842x = 97,455 × 97,455
  4. Step 4: Simplify right side
    68,842x = 9,497,477,025
  5. Step 5: Solve for x
    x = 9,497,477,025/68,842
  6. Step 6: Final answer
    x = 137,960.50

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.