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Finding the Third Proportional to 65,527.50 and 153,906

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Solution

The third proportional to 65,527.50 and 153,906 is: 361,482.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,527.50 : 153,906 = 153,906 : x
  2. Step 2: Convert to fraction form
    65,527.50/153,906 = 153,906/x
  3. Step 3: Cross multiply
    65,527.50x = 153,906 × 153,906
  4. Step 4: Simplify right side
    65,527.50x = 23,687,056,836
  5. Step 5: Solve for x
    x = 23,687,056,836/65,527.50
  6. Step 6: Final answer
    x = 361,482.69

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.