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Finding the Third Proportional to 59,730.75 and 128,316.38

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Solution

The third proportional to 59,730.75 and 128,316.38 is: 275,655.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,730.75 : 128,316.38 = 128,316.38 : x
  2. Step 2: Convert to fraction form
    59,730.75/128,316.38 = 128,316.38/x
  3. Step 3: Cross multiply
    59,730.75x = 128,316.38 × 128,316.38
  4. Step 4: Simplify right side
    59,730.75x = 16,465,092,093.14
  5. Step 5: Solve for x
    x = 16,465,092,093.14/59,730.75
  6. Step 6: Final answer
    x = 275,655.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.