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Finding the Third Proportional to 32,258 and 70,888

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Solution

The third proportional to 32,258 and 70,888 is: 155,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,258 : 70,888 = 70,888 : x
  2. Step 2: Convert to fraction form
    32,258/70,888 = 70,888/x
  3. Step 3: Cross multiply
    32,258x = 70,888 × 70,888
  4. Step 4: Simplify right side
    32,258x = 5,025,108,544
  5. Step 5: Solve for x
    x = 5,025,108,544/32,258
  6. Step 6: Final answer
    x = 155,778.68

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.