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Finding the Third Proportional to 74,460 and 116,552

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Solution

The third proportional to 74,460 and 116,552 is: 182,438.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,460 : 116,552 = 116,552 : x
  2. Step 2: Convert to fraction form
    74,460/116,552 = 116,552/x
  3. Step 3: Cross multiply
    74,460x = 116,552 × 116,552
  4. Step 4: Simplify right side
    74,460x = 13,584,368,704
  5. Step 5: Solve for x
    x = 13,584,368,704/74,460
  6. Step 6: Final answer
    x = 182,438.47

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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.