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Finding the Third Proportional to 94,610 and 157,677

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Solution

The third proportional to 94,610 and 157,677 is: 262,784.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,610 : 157,677 = 157,677 : x
  2. Step 2: Convert to fraction form
    94,610/157,677 = 157,677/x
  3. Step 3: Cross multiply
    94,610x = 157,677 × 157,677
  4. Step 4: Simplify right side
    94,610x = 24,862,036,329
  5. Step 5: Solve for x
    x = 24,862,036,329/94,610
  6. Step 6: Final answer
    x = 262,784.44

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.