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Finding the Third Proportional to 45,770 and 97,492

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Solution

The third proportional to 45,770 and 97,492 is: 207,662.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,770 : 97,492 = 97,492 : x
  2. Step 2: Convert to fraction form
    45,770/97,492 = 97,492/x
  3. Step 3: Cross multiply
    45,770x = 97,492 × 97,492
  4. Step 4: Simplify right side
    45,770x = 9,504,690,064
  5. Step 5: Solve for x
    x = 9,504,690,064/45,770
  6. Step 6: Final answer
    x = 207,662.01

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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.