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Finding the Third Proportional to 102,814 and 153,368

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Solution

The third proportional to 102,814 and 153,368 is: 228,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,814 : 153,368 = 153,368 : x
  2. Step 2: Convert to fraction form
    102,814/153,368 = 153,368/x
  3. Step 3: Cross multiply
    102,814x = 153,368 × 153,368
  4. Step 4: Simplify right side
    102,814x = 23,521,743,424
  5. Step 5: Solve for x
    x = 23,521,743,424/102,814
  6. Step 6: Final answer
    x = 228,779.58

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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.