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Finding the Third Proportional to 102,130 and 147,098

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Solution

The third proportional to 102,130 and 147,098 is: 211,865.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,130 : 147,098 = 147,098 : x
  2. Step 2: Convert to fraction form
    102,130/147,098 = 147,098/x
  3. Step 3: Cross multiply
    102,130x = 147,098 × 147,098
  4. Step 4: Simplify right side
    102,130x = 21,637,821,604
  5. Step 5: Solve for x
    x = 21,637,821,604/102,130
  6. Step 6: Final answer
    x = 211,865.48

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.