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Finding the Third Proportional to 72,206 and 98,370

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Solution

The third proportional to 72,206 and 98,370 is: 134,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,206 : 98,370 = 98,370 : x
  2. Step 2: Convert to fraction form
    72,206/98,370 = 98,370/x
  3. Step 3: Cross multiply
    72,206x = 98,370 × 98,370
  4. Step 4: Simplify right side
    72,206x = 9,676,656,900
  5. Step 5: Solve for x
    x = 9,676,656,900/72,206
  6. Step 6: Final answer
    x = 134,014.58

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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.