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Finding the Third Proportional to 30,184 and 64,996

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Solution

The third proportional to 30,184 and 64,996 is: 139,957.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,184 : 64,996 = 64,996 : x
  2. Step 2: Convert to fraction form
    30,184/64,996 = 64,996/x
  3. Step 3: Cross multiply
    30,184x = 64,996 × 64,996
  4. Step 4: Simplify right side
    30,184x = 4,224,480,016
  5. Step 5: Solve for x
    x = 4,224,480,016/30,184
  6. Step 6: Final answer
    x = 139,957.59

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.