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Finding the Third Proportional to 102,472 and 210,045

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Solution

The third proportional to 102,472 and 210,045 is: 430,545.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,472 : 210,045 = 210,045 : x
  2. Step 2: Convert to fraction form
    102,472/210,045 = 210,045/x
  3. Step 3: Cross multiply
    102,472x = 210,045 × 210,045
  4. Step 4: Simplify right side
    102,472x = 44,118,902,025
  5. Step 5: Solve for x
    x = 44,118,902,025/102,472
  6. Step 6: Final answer
    x = 430,545.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.