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Finding the Third Proportional to 56,461.13 and 83,133.56

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Solution

The third proportional to 56,461.13 and 83,133.56 is: 122,406.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,461.13 : 83,133.56 = 83,133.56 : x
  2. Step 2: Convert to fraction form
    56,461.13/83,133.56 = 83,133.56/x
  3. Step 3: Cross multiply
    56,461.13x = 83,133.56 × 83,133.56
  4. Step 4: Simplify right side
    56,461.13x = 6,911,189,213.94
  5. Step 5: Solve for x
    x = 6,911,189,213.94/56,461.13
  6. Step 6: Final answer
    x = 122,406.15

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.