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Finding the Third Proportional to 45,591 and 98,470

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Solution

The third proportional to 45,591 and 98,470 is: 212,681.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,591 : 98,470 = 98,470 : x
  2. Step 2: Convert to fraction form
    45,591/98,470 = 98,470/x
  3. Step 3: Cross multiply
    45,591x = 98,470 × 98,470
  4. Step 4: Simplify right side
    45,591x = 9,696,340,900
  5. Step 5: Solve for x
    x = 9,696,340,900/45,591
  6. Step 6: Final answer
    x = 212,681.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.