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Finding the Third Proportional to 64,584 and 139,024

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Solution

The third proportional to 64,584 and 139,024 is: 299,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,584 : 139,024 = 139,024 : x
  2. Step 2: Convert to fraction form
    64,584/139,024 = 139,024/x
  3. Step 3: Cross multiply
    64,584x = 139,024 × 139,024
  4. Step 4: Simplify right side
    64,584x = 19,327,672,576
  5. Step 5: Solve for x
    x = 19,327,672,576/64,584
  6. Step 6: Final answer
    x = 299,264.10

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Why These Related Problems?

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