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Finding the Third Proportional to 67,404 and 97,097

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Solution

The third proportional to 67,404 and 97,097 is: 139,870.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,404 : 97,097 = 97,097 : x
  2. Step 2: Convert to fraction form
    67,404/97,097 = 97,097/x
  3. Step 3: Cross multiply
    67,404x = 97,097 × 97,097
  4. Step 4: Simplify right side
    67,404x = 9,427,827,409
  5. Step 5: Solve for x
    x = 9,427,827,409/67,404
  6. Step 6: Final answer
    x = 139,870.44

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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.