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Finding the Third Proportional to 64,084 and 140,509

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Solution

The third proportional to 64,084 and 140,509 is: 308,076.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,084 : 140,509 = 140,509 : x
  2. Step 2: Convert to fraction form
    64,084/140,509 = 140,509/x
  3. Step 3: Cross multiply
    64,084x = 140,509 × 140,509
  4. Step 4: Simplify right side
    64,084x = 19,742,779,081
  5. Step 5: Solve for x
    x = 19,742,779,081/64,084
  6. Step 6: Final answer
    x = 308,076.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.