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Finding the Third Proportional to 63,412 and 133,897

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Solution

The third proportional to 63,412 and 133,897 is: 282,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,412 : 133,897 = 133,897 : x
  2. Step 2: Convert to fraction form
    63,412/133,897 = 133,897/x
  3. Step 3: Cross multiply
    63,412x = 133,897 × 133,897
  4. Step 4: Simplify right side
    63,412x = 17,928,406,609
  5. Step 5: Solve for x
    x = 17,928,406,609/63,412
  6. Step 6: Final answer
    x = 282,728.93

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.