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Finding the Third Proportional to 102,039 and 216,429

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Solution

The third proportional to 102,039 and 216,429 is: 459,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,039 : 216,429 = 216,429 : x
  2. Step 2: Convert to fraction form
    102,039/216,429 = 216,429/x
  3. Step 3: Cross multiply
    102,039x = 216,429 × 216,429
  4. Step 4: Simplify right side
    102,039x = 46,841,512,041
  5. Step 5: Solve for x
    x = 46,841,512,041/102,039
  6. Step 6: Final answer
    x = 459,054.99

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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.