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Finding the Third Proportional to 64,432 and 133,283

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Solution

The third proportional to 64,432 and 133,283 is: 275,707.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,432 : 133,283 = 133,283 : x
  2. Step 2: Convert to fraction form
    64,432/133,283 = 133,283/x
  3. Step 3: Cross multiply
    64,432x = 133,283 × 133,283
  4. Step 4: Simplify right side
    64,432x = 17,764,358,089
  5. Step 5: Solve for x
    x = 17,764,358,089/64,432
  6. Step 6: Final answer
    x = 275,707.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.