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Finding the Third Proportional to 102,090 and 149,670

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Solution

The third proportional to 102,090 and 149,670 is: 219,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,090 : 149,670 = 149,670 : x
  2. Step 2: Convert to fraction form
    102,090/149,670 = 149,670/x
  3. Step 3: Cross multiply
    102,090x = 149,670 × 149,670
  4. Step 4: Simplify right side
    102,090x = 22,401,108,900
  5. Step 5: Solve for x
    x = 22,401,108,900/102,090
  6. Step 6: Final answer
    x = 219,425.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.