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Finding the Third Proportional to 74,716 and 112,352

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Solution

The third proportional to 74,716 and 112,352 is: 168,946.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,716 : 112,352 = 112,352 : x
  2. Step 2: Convert to fraction form
    74,716/112,352 = 112,352/x
  3. Step 3: Cross multiply
    74,716x = 112,352 × 112,352
  4. Step 4: Simplify right side
    74,716x = 12,622,971,904
  5. Step 5: Solve for x
    x = 12,622,971,904/74,716
  6. Step 6: Final answer
    x = 168,946.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.