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Finding the Third Proportional to 66,924 and 89,222

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Solution

The third proportional to 66,924 and 89,222 is: 118,949.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,924 : 89,222 = 89,222 : x
  2. Step 2: Convert to fraction form
    66,924/89,222 = 89,222/x
  3. Step 3: Cross multiply
    66,924x = 89,222 × 89,222
  4. Step 4: Simplify right side
    66,924x = 7,960,565,284
  5. Step 5: Solve for x
    x = 7,960,565,284/66,924
  6. Step 6: Final answer
    x = 118,949.33

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.