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Finding the Third Proportional to 56,981 and 94,575

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Solution

The third proportional to 56,981 and 94,575 is: 156,972.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,981 : 94,575 = 94,575 : x
  2. Step 2: Convert to fraction form
    56,981/94,575 = 94,575/x
  3. Step 3: Cross multiply
    56,981x = 94,575 × 94,575
  4. Step 4: Simplify right side
    56,981x = 8,944,430,625
  5. Step 5: Solve for x
    x = 8,944,430,625/56,981
  6. Step 6: Final answer
    x = 156,972.16

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.