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Finding the Third Proportional to 91,984 and 134,948

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Solution

The third proportional to 91,984 and 134,948 is: 197,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,984 : 134,948 = 134,948 : x
  2. Step 2: Convert to fraction form
    91,984/134,948 = 134,948/x
  3. Step 3: Cross multiply
    91,984x = 134,948 × 134,948
  4. Step 4: Simplify right side
    91,984x = 18,210,962,704
  5. Step 5: Solve for x
    x = 18,210,962,704/91,984
  6. Step 6: Final answer
    x = 197,979.68

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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.