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Finding the Third Proportional to 45,240 and 98,511

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Solution

The third proportional to 45,240 and 98,511 is: 214,509.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,240 : 98,511 = 98,511 : x
  2. Step 2: Convert to fraction form
    45,240/98,511 = 98,511/x
  3. Step 3: Cross multiply
    45,240x = 98,511 × 98,511
  4. Step 4: Simplify right side
    45,240x = 9,704,417,121
  5. Step 5: Solve for x
    x = 9,704,417,121/45,240
  6. Step 6: Final answer
    x = 214,509.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.