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Finding the Third Proportional to 67,217 and 147,538

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Solution

The third proportional to 67,217 and 147,538 is: 323,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,217 : 147,538 = 147,538 : x
  2. Step 2: Convert to fraction form
    67,217/147,538 = 147,538/x
  3. Step 3: Cross multiply
    67,217x = 147,538 × 147,538
  4. Step 4: Simplify right side
    67,217x = 21,767,461,444
  5. Step 5: Solve for x
    x = 21,767,461,444/67,217
  6. Step 6: Final answer
    x = 323,838.63

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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.