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Finding the Third Proportional to 64,569 and 139,335

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Solution

The third proportional to 64,569 and 139,335 is: 300,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,569 : 139,335 = 139,335 : x
  2. Step 2: Convert to fraction form
    64,569/139,335 = 139,335/x
  3. Step 3: Cross multiply
    64,569x = 139,335 × 139,335
  4. Step 4: Simplify right side
    64,569x = 19,414,242,225
  5. Step 5: Solve for x
    x = 19,414,242,225/64,569
  6. Step 6: Final answer
    x = 300,674.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.