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Finding the Third Proportional to 46,133.06 and 75,330.56

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Solution

The third proportional to 46,133.06 and 75,330.56 is: 123,007.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,133.06 : 75,330.56 = 75,330.56 : x
  2. Step 2: Convert to fraction form
    46,133.06/75,330.56 = 75,330.56/x
  3. Step 3: Cross multiply
    46,133.06x = 75,330.56 × 75,330.56
  4. Step 4: Simplify right side
    46,133.06x = 5,674,693,646.57
  5. Step 5: Solve for x
    x = 5,674,693,646.57/46,133.06
  6. Step 6: Final answer
    x = 123,007.09

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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.