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Finding the Third Proportional to 34,454 and 75,061

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Solution

The third proportional to 34,454 and 75,061 is: 163,526.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,454 : 75,061 = 75,061 : x
  2. Step 2: Convert to fraction form
    34,454/75,061 = 75,061/x
  3. Step 3: Cross multiply
    34,454x = 75,061 × 75,061
  4. Step 4: Simplify right side
    34,454x = 5,634,153,721
  5. Step 5: Solve for x
    x = 5,634,153,721/34,454
  6. Step 6: Final answer
    x = 163,526.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.