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Finding the Third Proportional to 97,116 and 146,376

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Solution

The third proportional to 97,116 and 146,376 is: 220,622.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,116 : 146,376 = 146,376 : x
  2. Step 2: Convert to fraction form
    97,116/146,376 = 146,376/x
  3. Step 3: Cross multiply
    97,116x = 146,376 × 146,376
  4. Step 4: Simplify right side
    97,116x = 21,425,933,376
  5. Step 5: Solve for x
    x = 21,425,933,376/97,116
  6. Step 6: Final answer
    x = 220,622.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.