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Finding the Third Proportional to 91,512 and 134,298

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Solution

The third proportional to 91,512 and 134,298 is: 197,088.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,512 : 134,298 = 134,298 : x
  2. Step 2: Convert to fraction form
    91,512/134,298 = 134,298/x
  3. Step 3: Cross multiply
    91,512x = 134,298 × 134,298
  4. Step 4: Simplify right side
    91,512x = 18,035,952,804
  5. Step 5: Solve for x
    x = 18,035,952,804/91,512
  6. Step 6: Final answer
    x = 197,088.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.