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Finding the Third Proportional to 71,536 and 106,458

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Solution

The third proportional to 71,536 and 106,458 is: 158,428.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,536 : 106,458 = 106,458 : x
  2. Step 2: Convert to fraction form
    71,536/106,458 = 106,458/x
  3. Step 3: Cross multiply
    71,536x = 106,458 × 106,458
  4. Step 4: Simplify right side
    71,536x = 11,333,305,764
  5. Step 5: Solve for x
    x = 11,333,305,764/71,536
  6. Step 6: Final answer
    x = 158,428.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.