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Finding the Third Proportional to 45,896 and 97,297

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Solution

The third proportional to 45,896 and 97,297 is: 206,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,896 : 97,297 = 97,297 : x
  2. Step 2: Convert to fraction form
    45,896/97,297 = 97,297/x
  3. Step 3: Cross multiply
    45,896x = 97,297 × 97,297
  4. Step 4: Simplify right side
    45,896x = 9,466,706,209
  5. Step 5: Solve for x
    x = 9,466,706,209/45,896
  6. Step 6: Final answer
    x = 206,264.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.