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Finding the Third Proportional to 98,723.25 and 141,076.13

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Solution

The third proportional to 98,723.25 and 141,076.13 is: 201,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,723.25 : 141,076.13 = 141,076.13 : x
  2. Step 2: Convert to fraction form
    98,723.25/141,076.13 = 141,076.13/x
  3. Step 3: Cross multiply
    98,723.25x = 141,076.13 × 141,076.13
  4. Step 4: Simplify right side
    98,723.25x = 19,902,473,045.02
  5. Step 5: Solve for x
    x = 19,902,473,045.02/98,723.25
  6. Step 6: Final answer
    x = 201,598.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.