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Finding the Third Proportional to 44,502 and 97,206

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Solution

The third proportional to 44,502 and 97,206 is: 212,327.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,502 : 97,206 = 97,206 : x
  2. Step 2: Convert to fraction form
    44,502/97,206 = 97,206/x
  3. Step 3: Cross multiply
    44,502x = 97,206 × 97,206
  4. Step 4: Simplify right side
    44,502x = 9,449,006,436
  5. Step 5: Solve for x
    x = 9,449,006,436/44,502
  6. Step 6: Final answer
    x = 212,327.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.