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Finding the Third Proportional to 74,773 and 112,160

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Solution

The third proportional to 74,773 and 112,160 is: 168,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,773 : 112,160 = 112,160 : x
  2. Step 2: Convert to fraction form
    74,773/112,160 = 112,160/x
  3. Step 3: Cross multiply
    74,773x = 112,160 × 112,160
  4. Step 4: Simplify right side
    74,773x = 12,579,865,600
  5. Step 5: Solve for x
    x = 12,579,865,600/74,773
  6. Step 6: Final answer
    x = 168,240.75

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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.