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Finding the Third Proportional to 98,278 and 151,072

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Solution

The third proportional to 98,278 and 151,072 is: 232,226.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,278 : 151,072 = 151,072 : x
  2. Step 2: Convert to fraction form
    98,278/151,072 = 151,072/x
  3. Step 3: Cross multiply
    98,278x = 151,072 × 151,072
  4. Step 4: Simplify right side
    98,278x = 22,822,749,184
  5. Step 5: Solve for x
    x = 22,822,749,184/98,278
  6. Step 6: Final answer
    x = 232,226.43

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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.