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Finding the Third Proportional to 45,444 and 97,206

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Solution

The third proportional to 45,444 and 97,206 is: 207,926.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,444 : 97,206 = 97,206 : x
  2. Step 2: Convert to fraction form
    45,444/97,206 = 97,206/x
  3. Step 3: Cross multiply
    45,444x = 97,206 × 97,206
  4. Step 4: Simplify right side
    45,444x = 9,449,006,436
  5. Step 5: Solve for x
    x = 9,449,006,436/45,444
  6. Step 6: Final answer
    x = 207,926.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.