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Finding the Third Proportional to 65,313 and 141,330

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Solution

The third proportional to 65,313 and 141,330 is: 305,822.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,313 : 141,330 = 141,330 : x
  2. Step 2: Convert to fraction form
    65,313/141,330 = 141,330/x
  3. Step 3: Cross multiply
    65,313x = 141,330 × 141,330
  4. Step 4: Simplify right side
    65,313x = 19,974,168,900
  5. Step 5: Solve for x
    x = 19,974,168,900/65,313
  6. Step 6: Final answer
    x = 305,822.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.