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Finding the Third Proportional to 45,132 and 99,013

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Solution

The third proportional to 45,132 and 99,013 is: 217,220.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,132 : 99,013 = 99,013 : x
  2. Step 2: Convert to fraction form
    45,132/99,013 = 99,013/x
  3. Step 3: Cross multiply
    45,132x = 99,013 × 99,013
  4. Step 4: Simplify right side
    45,132x = 9,803,574,169
  5. Step 5: Solve for x
    x = 9,803,574,169/45,132
  6. Step 6: Final answer
    x = 217,220.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.