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Finding the Third Proportional to 74,220 and 115,890

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Solution

The third proportional to 74,220 and 115,890 is: 180,955.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,220 : 115,890 = 115,890 : x
  2. Step 2: Convert to fraction form
    74,220/115,890 = 115,890/x
  3. Step 3: Cross multiply
    74,220x = 115,890 × 115,890
  4. Step 4: Simplify right side
    74,220x = 13,430,492,100
  5. Step 5: Solve for x
    x = 13,430,492,100/74,220
  6. Step 6: Final answer
    x = 180,955.16

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.