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Finding the Third Proportional to 144,596 and 216,126

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Solution

The third proportional to 144,596 and 216,126 is: 323,041.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,596 : 216,126 = 216,126 : x
  2. Step 2: Convert to fraction form
    144,596/216,126 = 216,126/x
  3. Step 3: Cross multiply
    144,596x = 216,126 × 216,126
  4. Step 4: Simplify right side
    144,596x = 46,710,447,876
  5. Step 5: Solve for x
    x = 46,710,447,876/144,596
  6. Step 6: Final answer
    x = 323,041.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.