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Finding the Third Proportional to 74,407.50 and 114,264

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Solution

The third proportional to 74,407.50 and 114,264 is: 175,469.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,407.50 : 114,264 = 114,264 : x
  2. Step 2: Convert to fraction form
    74,407.50/114,264 = 114,264/x
  3. Step 3: Cross multiply
    74,407.50x = 114,264 × 114,264
  4. Step 4: Simplify right side
    74,407.50x = 13,056,261,696
  5. Step 5: Solve for x
    x = 13,056,261,696/74,407.50
  6. Step 6: Final answer
    x = 175,469.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.