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Finding the Third Proportional to 45,503 and 99,265

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Solution

The third proportional to 45,503 and 99,265 is: 216,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,503 : 99,265 = 99,265 : x
  2. Step 2: Convert to fraction form
    45,503/99,265 = 99,265/x
  3. Step 3: Cross multiply
    45,503x = 99,265 × 99,265
  4. Step 4: Simplify right side
    45,503x = 9,853,540,225
  5. Step 5: Solve for x
    x = 9,853,540,225/45,503
  6. Step 6: Final answer
    x = 216,547.05

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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.