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Finding the Third Proportional to 56,953.13 and 75,588.19

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Solution

The third proportional to 56,953.13 and 75,588.19 is: 100,320.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,953.13 : 75,588.19 = 75,588.19 : x
  2. Step 2: Convert to fraction form
    56,953.13/75,588.19 = 75,588.19/x
  3. Step 3: Cross multiply
    56,953.13x = 75,588.19 × 75,588.19
  4. Step 4: Simplify right side
    56,953.13x = 5,713,574,089.54
  5. Step 5: Solve for x
    x = 5,713,574,089.54/56,953.13
  6. Step 6: Final answer
    x = 100,320.64

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.