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Finding the Third Proportional to 113,712 and 178,032

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Solution

The third proportional to 113,712 and 178,032 is: 278,733.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,712 : 178,032 = 178,032 : x
  2. Step 2: Convert to fraction form
    113,712/178,032 = 178,032/x
  3. Step 3: Cross multiply
    113,712x = 178,032 × 178,032
  4. Step 4: Simplify right side
    113,712x = 31,695,393,024
  5. Step 5: Solve for x
    x = 31,695,393,024/113,712
  6. Step 6: Final answer
    x = 278,733.93

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.