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Finding the Third Proportional to 46,134.56 and 75,335.06

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Solution

The third proportional to 46,134.56 and 75,335.06 is: 123,017.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,134.56 : 75,335.06 = 75,335.06 : x
  2. Step 2: Convert to fraction form
    46,134.56/75,335.06 = 75,335.06/x
  3. Step 3: Cross multiply
    46,134.56x = 75,335.06 × 75,335.06
  4. Step 4: Simplify right side
    46,134.56x = 5,675,371,641.88
  5. Step 5: Solve for x
    x = 5,675,371,641.88/46,134.56
  6. Step 6: Final answer
    x = 123,017.78

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.