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Finding the Third Proportional to 45,102 and 97,891.50

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Solution

The third proportional to 45,102 and 97,891.50 is: 212,468.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,102 : 97,891.50 = 97,891.50 : x
  2. Step 2: Convert to fraction form
    45,102/97,891.50 = 97,891.50/x
  3. Step 3: Cross multiply
    45,102x = 97,891.50 × 97,891.50
  4. Step 4: Simplify right side
    45,102x = 9,582,745,772.25
  5. Step 5: Solve for x
    x = 9,582,745,772.25/45,102
  6. Step 6: Final answer
    x = 212,468.31

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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.