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Finding the Third Proportional to 65,919 and 146,076

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Solution

The third proportional to 65,919 and 146,076 is: 323,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,919 : 146,076 = 146,076 : x
  2. Step 2: Convert to fraction form
    65,919/146,076 = 146,076/x
  3. Step 3: Cross multiply
    65,919x = 146,076 × 146,076
  4. Step 4: Simplify right side
    65,919x = 21,338,197,776
  5. Step 5: Solve for x
    x = 21,338,197,776/65,919
  6. Step 6: Final answer
    x = 323,703.30

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.