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Finding the Third Proportional to 70,160 and 108,824

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Solution

The third proportional to 70,160 and 108,824 is: 168,795.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,160 : 108,824 = 108,824 : x
  2. Step 2: Convert to fraction form
    70,160/108,824 = 108,824/x
  3. Step 3: Cross multiply
    70,160x = 108,824 × 108,824
  4. Step 4: Simplify right side
    70,160x = 11,842,662,976
  5. Step 5: Solve for x
    x = 11,842,662,976/70,160
  6. Step 6: Final answer
    x = 168,795.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.