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Finding the Third Proportional to 74,422.50 and 112,317

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Solution

The third proportional to 74,422.50 and 112,317 is: 169,506.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,422.50 : 112,317 = 112,317 : x
  2. Step 2: Convert to fraction form
    74,422.50/112,317 = 112,317/x
  3. Step 3: Cross multiply
    74,422.50x = 112,317 × 112,317
  4. Step 4: Simplify right side
    74,422.50x = 12,615,108,489
  5. Step 5: Solve for x
    x = 12,615,108,489/74,422.50
  6. Step 6: Final answer
    x = 169,506.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.