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Finding the Third Proportional to 98,186 and 151,138

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Solution

The third proportional to 98,186 and 151,138 is: 232,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,186 : 151,138 = 151,138 : x
  2. Step 2: Convert to fraction form
    98,186/151,138 = 151,138/x
  3. Step 3: Cross multiply
    98,186x = 151,138 × 151,138
  4. Step 4: Simplify right side
    98,186x = 22,842,695,044
  5. Step 5: Solve for x
    x = 22,842,695,044/98,186
  6. Step 6: Final answer
    x = 232,647.17

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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.