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Finding the Third Proportional to 97,078 and 146,301

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Solution

The third proportional to 97,078 and 146,301 is: 220,482.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,078 : 146,301 = 146,301 : x
  2. Step 2: Convert to fraction form
    97,078/146,301 = 146,301/x
  3. Step 3: Cross multiply
    97,078x = 146,301 × 146,301
  4. Step 4: Simplify right side
    97,078x = 21,403,982,601
  5. Step 5: Solve for x
    x = 21,403,982,601/97,078
  6. Step 6: Final answer
    x = 220,482.32

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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.