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Finding the Third Proportional to 45,034 and 97,048

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Solution

The third proportional to 45,034 and 97,048 is: 209,137.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,034 : 97,048 = 97,048 : x
  2. Step 2: Convert to fraction form
    45,034/97,048 = 97,048/x
  3. Step 3: Cross multiply
    45,034x = 97,048 × 97,048
  4. Step 4: Simplify right side
    45,034x = 9,418,314,304
  5. Step 5: Solve for x
    x = 9,418,314,304/45,034
  6. Step 6: Final answer
    x = 209,137.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.