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Finding the Third Proportional to 66,656 and 139,472

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Solution

The third proportional to 66,656 and 139,472 is: 291,833.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,656 : 139,472 = 139,472 : x
  2. Step 2: Convert to fraction form
    66,656/139,472 = 139,472/x
  3. Step 3: Cross multiply
    66,656x = 139,472 × 139,472
  4. Step 4: Simplify right side
    66,656x = 19,452,438,784
  5. Step 5: Solve for x
    x = 19,452,438,784/66,656
  6. Step 6: Final answer
    x = 291,833.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.