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Finding the Third Proportional to 67,444 and 147,737

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Solution

The third proportional to 67,444 and 147,737 is: 323,619.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,444 : 147,737 = 147,737 : x
  2. Step 2: Convert to fraction form
    67,444/147,737 = 147,737/x
  3. Step 3: Cross multiply
    67,444x = 147,737 × 147,737
  4. Step 4: Simplify right side
    67,444x = 21,826,221,169
  5. Step 5: Solve for x
    x = 21,826,221,169/67,444
  6. Step 6: Final answer
    x = 323,619.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.