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Finding the Third Proportional to 86,428 and 187,610

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Solution

The third proportional to 86,428 and 187,610 is: 407,246.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,428 : 187,610 = 187,610 : x
  2. Step 2: Convert to fraction form
    86,428/187,610 = 187,610/x
  3. Step 3: Cross multiply
    86,428x = 187,610 × 187,610
  4. Step 4: Simplify right side
    86,428x = 35,197,512,100
  5. Step 5: Solve for x
    x = 35,197,512,100/86,428
  6. Step 6: Final answer
    x = 407,246.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.