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Finding the Third Proportional to 99,706 and 153,255

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Solution

The third proportional to 99,706 and 153,255 is: 235,563.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,706 : 153,255 = 153,255 : x
  2. Step 2: Convert to fraction form
    99,706/153,255 = 153,255/x
  3. Step 3: Cross multiply
    99,706x = 153,255 × 153,255
  4. Step 4: Simplify right side
    99,706x = 23,487,095,025
  5. Step 5: Solve for x
    x = 23,487,095,025/99,706
  6. Step 6: Final answer
    x = 235,563.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.