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Finding the Third Proportional to 44,982 and 97,335

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Solution

The third proportional to 44,982 and 97,335 is: 210,619.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,982 : 97,335 = 97,335 : x
  2. Step 2: Convert to fraction form
    44,982/97,335 = 97,335/x
  3. Step 3: Cross multiply
    44,982x = 97,335 × 97,335
  4. Step 4: Simplify right side
    44,982x = 9,474,102,225
  5. Step 5: Solve for x
    x = 9,474,102,225/44,982
  6. Step 6: Final answer
    x = 210,619.85

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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.