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Finding the Third Proportional to 73,313 and 159,748

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Solution

The third proportional to 73,313 and 159,748 is: 348,088.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,313 : 159,748 = 159,748 : x
  2. Step 2: Convert to fraction form
    73,313/159,748 = 159,748/x
  3. Step 3: Cross multiply
    73,313x = 159,748 × 159,748
  4. Step 4: Simplify right side
    73,313x = 25,519,423,504
  5. Step 5: Solve for x
    x = 25,519,423,504/73,313
  6. Step 6: Final answer
    x = 348,088.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.