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Finding the Third Proportional to 99,207 and 149,705

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Solution

The third proportional to 99,207 and 149,705 is: 225,907.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,207 : 149,705 = 149,705 : x
  2. Step 2: Convert to fraction form
    99,207/149,705 = 149,705/x
  3. Step 3: Cross multiply
    99,207x = 149,705 × 149,705
  4. Step 4: Simplify right side
    99,207x = 22,411,587,025
  5. Step 5: Solve for x
    x = 22,411,587,025/99,207
  6. Step 6: Final answer
    x = 225,907.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.