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Finding the Third Proportional to 67,113 and 144,735

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Solution

The third proportional to 67,113 and 144,735 is: 312,133.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,113 : 144,735 = 144,735 : x
  2. Step 2: Convert to fraction form
    67,113/144,735 = 144,735/x
  3. Step 3: Cross multiply
    67,113x = 144,735 × 144,735
  4. Step 4: Simplify right side
    67,113x = 20,948,220,225
  5. Step 5: Solve for x
    x = 20,948,220,225/67,113
  6. Step 6: Final answer
    x = 312,133.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.