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Finding the Third Proportional to 45,301 and 99,169

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Solution

The third proportional to 45,301 and 99,169 is: 217,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,301 : 99,169 = 99,169 : x
  2. Step 2: Convert to fraction form
    45,301/99,169 = 99,169/x
  3. Step 3: Cross multiply
    45,301x = 99,169 × 99,169
  4. Step 4: Simplify right side
    45,301x = 9,834,490,561
  5. Step 5: Solve for x
    x = 9,834,490,561/45,301
  6. Step 6: Final answer
    x = 217,092.13

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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.