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Finding the Third Proportional to 67,461 and 97,165.50

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Solution

The third proportional to 67,461 and 97,165.50 is: 139,949.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,461 : 97,165.50 = 97,165.50 : x
  2. Step 2: Convert to fraction form
    67,461/97,165.50 = 97,165.50/x
  3. Step 3: Cross multiply
    67,461x = 97,165.50 × 97,165.50
  4. Step 4: Simplify right side
    67,461x = 9,441,134,390.25
  5. Step 5: Solve for x
    x = 9,441,134,390.25/67,461
  6. Step 6: Final answer
    x = 139,949.52

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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.