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Finding the Third Proportional to 64,880.16 and 139,460.06

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Solution

The third proportional to 64,880.16 and 139,460.06 is: 299,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,880.16 : 139,460.06 = 139,460.06 : x
  2. Step 2: Convert to fraction form
    64,880.16/139,460.06 = 139,460.06/x
  3. Step 3: Cross multiply
    64,880.16x = 139,460.06 × 139,460.06
  4. Step 4: Simplify right side
    64,880.16x = 19,449,109,032.50
  5. Step 5: Solve for x
    x = 19,449,109,032.50/64,880.16
  6. Step 6: Final answer
    x = 299,769.76

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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.