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Finding the Third Proportional to 98,167 and 151,089

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Solution

The third proportional to 98,167 and 151,089 is: 232,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,167 : 151,089 = 151,089 : x
  2. Step 2: Convert to fraction form
    98,167/151,089 = 151,089/x
  3. Step 3: Cross multiply
    98,167x = 151,089 × 151,089
  4. Step 4: Simplify right side
    98,167x = 22,827,885,921
  5. Step 5: Solve for x
    x = 22,827,885,921/98,167
  6. Step 6: Final answer
    x = 232,541.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.