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Finding the Third Proportional to 89,258 and 195,076

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Solution

The third proportional to 89,258 and 195,076 is: 426,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,258 : 195,076 = 195,076 : x
  2. Step 2: Convert to fraction form
    89,258/195,076 = 195,076/x
  3. Step 3: Cross multiply
    89,258x = 195,076 × 195,076
  4. Step 4: Simplify right side
    89,258x = 38,054,645,776
  5. Step 5: Solve for x
    x = 38,054,645,776/89,258
  6. Step 6: Final answer
    x = 426,344.37

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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.