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Finding the Third Proportional to 74,180 and 93,988

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Solution

The third proportional to 74,180 and 93,988 is: 119,085.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,180 : 93,988 = 93,988 : x
  2. Step 2: Convert to fraction form
    74,180/93,988 = 93,988/x
  3. Step 3: Cross multiply
    74,180x = 93,988 × 93,988
  4. Step 4: Simplify right side
    74,180x = 8,833,744,144
  5. Step 5: Solve for x
    x = 8,833,744,144/74,180
  6. Step 6: Final answer
    x = 119,085.25

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.