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Finding the Third Proportional to 136,912 and 210,354

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Solution

The third proportional to 136,912 and 210,354 is: 323,191.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,912 : 210,354 = 210,354 : x
  2. Step 2: Convert to fraction form
    136,912/210,354 = 210,354/x
  3. Step 3: Cross multiply
    136,912x = 210,354 × 210,354
  4. Step 4: Simplify right side
    136,912x = 44,248,805,316
  5. Step 5: Solve for x
    x = 44,248,805,316/136,912
  6. Step 6: Final answer
    x = 323,191.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.