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Finding the Third Proportional to 68,004 and 97,960

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Solution

The third proportional to 68,004 and 97,960 is: 141,111.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,004 : 97,960 = 97,960 : x
  2. Step 2: Convert to fraction form
    68,004/97,960 = 97,960/x
  3. Step 3: Cross multiply
    68,004x = 97,960 × 97,960
  4. Step 4: Simplify right side
    68,004x = 9,596,161,600
  5. Step 5: Solve for x
    x = 9,596,161,600/68,004
  6. Step 6: Final answer
    x = 141,111.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.