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Finding the Third Proportional to 98,133.75 and 155,642.63

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Solution

The third proportional to 98,133.75 and 155,642.63 is: 246,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,133.75 : 155,642.63 = 155,642.63 : x
  2. Step 2: Convert to fraction form
    98,133.75/155,642.63 = 155,642.63/x
  3. Step 3: Cross multiply
    98,133.75x = 155,642.63 × 155,642.63
  4. Step 4: Simplify right side
    98,133.75x = 24,224,626,716.89
  5. Step 5: Solve for x
    x = 24,224,626,716.89/98,133.75
  6. Step 6: Final answer
    x = 246,853.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.