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Finding the Third Proportional to 72,210 and 98,367

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Solution

The third proportional to 72,210 and 98,367 is: 133,998.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,210 : 98,367 = 98,367 : x
  2. Step 2: Convert to fraction form
    72,210/98,367 = 98,367/x
  3. Step 3: Cross multiply
    72,210x = 98,367 × 98,367
  4. Step 4: Simplify right side
    72,210x = 9,676,066,689
  5. Step 5: Solve for x
    x = 9,676,066,689/72,210
  6. Step 6: Final answer
    x = 133,998.98

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Why These Related Problems?

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