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Finding the Third Proportional to 128,613.50 and 183,461.50

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Solution

The third proportional to 128,613.50 and 183,461.50 is: 261,699.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,613.50 : 183,461.50 = 183,461.50 : x
  2. Step 2: Convert to fraction form
    128,613.50/183,461.50 = 183,461.50/x
  3. Step 3: Cross multiply
    128,613.50x = 183,461.50 × 183,461.50
  4. Step 4: Simplify right side
    128,613.50x = 33,658,121,982.25
  5. Step 5: Solve for x
    x = 33,658,121,982.25/128,613.50
  6. Step 6: Final answer
    x = 261,699.76

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.