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Finding the Third Proportional to 95,346 and 129,491.25

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Solution

The third proportional to 95,346 and 129,491.25 is: 175,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,346 : 129,491.25 = 129,491.25 : x
  2. Step 2: Convert to fraction form
    95,346/129,491.25 = 129,491.25/x
  3. Step 3: Cross multiply
    95,346x = 129,491.25 × 129,491.25
  4. Step 4: Simplify right side
    95,346x = 16,767,983,826.56
  5. Step 5: Solve for x
    x = 16,767,983,826.56/95,346
  6. Step 6: Final answer
    x = 175,864.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.