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Finding the Third Proportional to 59,654.81 and 128,649.94

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Solution

The third proportional to 59,654.81 and 128,649.94 is: 277,442.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,654.81 : 128,649.94 = 128,649.94 : x
  2. Step 2: Convert to fraction form
    59,654.81/128,649.94 = 128,649.94/x
  3. Step 3: Cross multiply
    59,654.81x = 128,649.94 × 128,649.94
  4. Step 4: Simplify right side
    59,654.81x = 16,550,806,418.75
  5. Step 5: Solve for x
    x = 16,550,806,418.75/59,654.81
  6. Step 6: Final answer
    x = 277,442.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.