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Finding the Third Proportional to 109,020 and 164,070

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Solution

The third proportional to 109,020 and 164,070 is: 246,917.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,020 : 164,070 = 164,070 : x
  2. Step 2: Convert to fraction form
    109,020/164,070 = 164,070/x
  3. Step 3: Cross multiply
    109,020x = 164,070 × 164,070
  4. Step 4: Simplify right side
    109,020x = 26,918,964,900
  5. Step 5: Solve for x
    x = 26,918,964,900/109,020
  6. Step 6: Final answer
    x = 246,917.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.