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Finding the Third Proportional to 90,688 and 142,988

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Solution

The third proportional to 90,688 and 142,988 is: 225,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,688 : 142,988 = 142,988 : x
  2. Step 2: Convert to fraction form
    90,688/142,988 = 142,988/x
  3. Step 3: Cross multiply
    90,688x = 142,988 × 142,988
  4. Step 4: Simplify right side
    90,688x = 20,445,568,144
  5. Step 5: Solve for x
    x = 20,445,568,144/90,688
  6. Step 6: Final answer
    x = 225,449.54

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.