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Finding the Third Proportional to 64,498 and 133,553

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Solution

The third proportional to 64,498 and 133,553 is: 276,541.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,498 : 133,553 = 133,553 : x
  2. Step 2: Convert to fraction form
    64,498/133,553 = 133,553/x
  3. Step 3: Cross multiply
    64,498x = 133,553 × 133,553
  4. Step 4: Simplify right side
    64,498x = 17,836,403,809
  5. Step 5: Solve for x
    x = 17,836,403,809/64,498
  6. Step 6: Final answer
    x = 276,541.97

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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.