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Finding the Third Proportional to 74,583 and 112,957.75

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Solution

The third proportional to 74,583 and 112,957.75 is: 171,077.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,583 : 112,957.75 = 112,957.75 : x
  2. Step 2: Convert to fraction form
    74,583/112,957.75 = 112,957.75/x
  3. Step 3: Cross multiply
    74,583x = 112,957.75 × 112,957.75
  4. Step 4: Simplify right side
    74,583x = 12,759,453,285.06
  5. Step 5: Solve for x
    x = 12,759,453,285.06/74,583
  6. Step 6: Final answer
    x = 171,077.23

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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.