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Finding the Third Proportional to 59,088.38 and 126,483

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Solution

The third proportional to 59,088.38 and 126,483 is: 270,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,088.38 : 126,483 = 126,483 : x
  2. Step 2: Convert to fraction form
    59,088.38/126,483 = 126,483/x
  3. Step 3: Cross multiply
    59,088.38x = 126,483 × 126,483
  4. Step 4: Simplify right side
    59,088.38x = 15,997,949,289
  5. Step 5: Solve for x
    x = 15,997,949,289/59,088.38
  6. Step 6: Final answer
    x = 270,746.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.