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Finding the Third Proportional to 59,156.25 and 128,293.13

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Solution

The third proportional to 59,156.25 and 128,293.13 is: 278,231.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,156.25 : 128,293.13 = 128,293.13 : x
  2. Step 2: Convert to fraction form
    59,156.25/128,293.13 = 128,293.13/x
  3. Step 3: Cross multiply
    59,156.25x = 128,293.13 × 128,293.13
  4. Step 4: Simplify right side
    59,156.25x = 16,459,125,922.27
  5. Step 5: Solve for x
    x = 16,459,125,922.27/59,156.25
  6. Step 6: Final answer
    x = 278,231.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.