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Finding the Third Proportional to 102,106 and 153,270

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Solution

The third proportional to 102,106 and 153,270 is: 230,071.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,106 : 153,270 = 153,270 : x
  2. Step 2: Convert to fraction form
    102,106/153,270 = 153,270/x
  3. Step 3: Cross multiply
    102,106x = 153,270 × 153,270
  4. Step 4: Simplify right side
    102,106x = 23,491,692,900
  5. Step 5: Solve for x
    x = 23,491,692,900/102,106
  6. Step 6: Final answer
    x = 230,071.62

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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.