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Finding the Third Proportional to 106,321.50 and 144,459

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Solution

The third proportional to 106,321.50 and 144,459 is: 196,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,321.50 : 144,459 = 144,459 : x
  2. Step 2: Convert to fraction form
    106,321.50/144,459 = 144,459/x
  3. Step 3: Cross multiply
    106,321.50x = 144,459 × 144,459
  4. Step 4: Simplify right side
    106,321.50x = 20,868,402,681
  5. Step 5: Solve for x
    x = 20,868,402,681/106,321.50
  6. Step 6: Final answer
    x = 196,276.41

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.