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Finding the Third Proportional to 63,045 and 133,785

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Solution

The third proportional to 63,045 and 133,785 is: 283,899.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,045 : 133,785 = 133,785 : x
  2. Step 2: Convert to fraction form
    63,045/133,785 = 133,785/x
  3. Step 3: Cross multiply
    63,045x = 133,785 × 133,785
  4. Step 4: Simplify right side
    63,045x = 17,898,426,225
  5. Step 5: Solve for x
    x = 17,898,426,225/63,045
  6. Step 6: Final answer
    x = 283,899.22

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.