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Finding the Third Proportional to 45,332 and 98,195

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Solution

The third proportional to 45,332 and 98,195 is: 212,703.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,332 : 98,195 = 98,195 : x
  2. Step 2: Convert to fraction form
    45,332/98,195 = 98,195/x
  3. Step 3: Cross multiply
    45,332x = 98,195 × 98,195
  4. Step 4: Simplify right side
    45,332x = 9,642,258,025
  5. Step 5: Solve for x
    x = 9,642,258,025/45,332
  6. Step 6: Final answer
    x = 212,703.12

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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.