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Finding the Third Proportional to 60,457 and 131,619

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Solution

The third proportional to 60,457 and 131,619 is: 286,543.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,457 : 131,619 = 131,619 : x
  2. Step 2: Convert to fraction form
    60,457/131,619 = 131,619/x
  3. Step 3: Cross multiply
    60,457x = 131,619 × 131,619
  4. Step 4: Simplify right side
    60,457x = 17,323,561,161
  5. Step 5: Solve for x
    x = 17,323,561,161/60,457
  6. Step 6: Final answer
    x = 286,543.51

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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.