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Finding the Third Proportional to 96,786 and 152,088

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Solution

The third proportional to 96,786 and 152,088 is: 238,988.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,786 : 152,088 = 152,088 : x
  2. Step 2: Convert to fraction form
    96,786/152,088 = 152,088/x
  3. Step 3: Cross multiply
    96,786x = 152,088 × 152,088
  4. Step 4: Simplify right side
    96,786x = 23,130,759,744
  5. Step 5: Solve for x
    x = 23,130,759,744/96,786
  6. Step 6: Final answer
    x = 238,988.69

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.