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Finding the Third Proportional to 58,468.08 and 126,284.06

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Solution

The third proportional to 58,468.08 and 126,284.06 is: 272,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,468.08 : 126,284.06 = 126,284.06 : x
  2. Step 2: Convert to fraction form
    58,468.08/126,284.06 = 126,284.06/x
  3. Step 3: Cross multiply
    58,468.08x = 126,284.06 × 126,284.06
  4. Step 4: Simplify right side
    58,468.08x = 15,947,664,441.50
  5. Step 5: Solve for x
    x = 15,947,664,441.50/58,468.08
  6. Step 6: Final answer
    x = 272,758.49

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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.