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Finding the Third Proportional to 44,658 and 95,457

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Solution

The third proportional to 44,658 and 95,457 is: 204,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,658 : 95,457 = 95,457 : x
  2. Step 2: Convert to fraction form
    44,658/95,457 = 95,457/x
  3. Step 3: Cross multiply
    44,658x = 95,457 × 95,457
  4. Step 4: Simplify right side
    44,658x = 9,112,038,849
  5. Step 5: Solve for x
    x = 9,112,038,849/44,658
  6. Step 6: Final answer
    x = 204,040.46

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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.