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Finding the Third Proportional to 70,948 and 152,969

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Solution

The third proportional to 70,948 and 152,969 is: 329,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,948 : 152,969 = 152,969 : x
  2. Step 2: Convert to fraction form
    70,948/152,969 = 152,969/x
  3. Step 3: Cross multiply
    70,948x = 152,969 × 152,969
  4. Step 4: Simplify right side
    70,948x = 23,399,514,961
  5. Step 5: Solve for x
    x = 23,399,514,961/70,948
  6. Step 6: Final answer
    x = 329,812.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.