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Finding the Third Proportional to 63,202 and 133,532

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Solution

The third proportional to 63,202 and 133,532 is: 282,123.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,202 : 133,532 = 133,532 : x
  2. Step 2: Convert to fraction form
    63,202/133,532 = 133,532/x
  3. Step 3: Cross multiply
    63,202x = 133,532 × 133,532
  4. Step 4: Simplify right side
    63,202x = 17,830,795,024
  5. Step 5: Solve for x
    x = 17,830,795,024/63,202
  6. Step 6: Final answer
    x = 282,123.90

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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.