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Finding the Third Proportional to 44,506 and 95,330

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Solution

The third proportional to 44,506 and 95,330 is: 204,192.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,506 : 95,330 = 95,330 : x
  2. Step 2: Convert to fraction form
    44,506/95,330 = 95,330/x
  3. Step 3: Cross multiply
    44,506x = 95,330 × 95,330
  4. Step 4: Simplify right side
    44,506x = 9,087,808,900
  5. Step 5: Solve for x
    x = 9,087,808,900/44,506
  6. Step 6: Final answer
    x = 204,192.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.