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Finding the Third Proportional to 45,820 and 97,431

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Solution

The third proportional to 45,820 and 97,431 is: 207,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,820 : 97,431 = 97,431 : x
  2. Step 2: Convert to fraction form
    45,820/97,431 = 97,431/x
  3. Step 3: Cross multiply
    45,820x = 97,431 × 97,431
  4. Step 4: Simplify right side
    45,820x = 9,492,799,761
  5. Step 5: Solve for x
    x = 9,492,799,761/45,820
  6. Step 6: Final answer
    x = 207,175.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.