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Finding the Third Proportional to 74,583 and 108,352.50

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Solution

The third proportional to 74,583 and 108,352.50 is: 157,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,583 : 108,352.50 = 108,352.50 : x
  2. Step 2: Convert to fraction form
    74,583/108,352.50 = 108,352.50/x
  3. Step 3: Cross multiply
    74,583x = 108,352.50 × 108,352.50
  4. Step 4: Simplify right side
    74,583x = 11,740,264,256.25
  5. Step 5: Solve for x
    x = 11,740,264,256.25/74,583
  6. Step 6: Final answer
    x = 157,412.07

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.