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Finding the Third Proportional to 45,806 and 97,612

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Solution

The third proportional to 45,806 and 97,612 is: 208,009.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,806 : 97,612 = 97,612 : x
  2. Step 2: Convert to fraction form
    45,806/97,612 = 97,612/x
  3. Step 3: Cross multiply
    45,806x = 97,612 × 97,612
  4. Step 4: Simplify right side
    45,806x = 9,528,102,544
  5. Step 5: Solve for x
    x = 9,528,102,544/45,806
  6. Step 6: Final answer
    x = 208,009.92

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.