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Finding the Third Proportional to 102,146 and 216,820

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Solution

The third proportional to 102,146 and 216,820 is: 460,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,146 : 216,820 = 216,820 : x
  2. Step 2: Convert to fraction form
    102,146/216,820 = 216,820/x
  3. Step 3: Cross multiply
    102,146x = 216,820 × 216,820
  4. Step 4: Simplify right side
    102,146x = 47,010,912,400
  5. Step 5: Solve for x
    x = 47,010,912,400/102,146
  6. Step 6: Final answer
    x = 460,232.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.