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Finding the Third Proportional to 94,902.75 and 142,975.13

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Solution

The third proportional to 94,902.75 and 142,975.13 is: 215,398.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,902.75 : 142,975.13 = 142,975.13 : x
  2. Step 2: Convert to fraction form
    94,902.75/142,975.13 = 142,975.13/x
  3. Step 3: Cross multiply
    94,902.75x = 142,975.13 × 142,975.13
  4. Step 4: Simplify right side
    94,902.75x = 20,441,886,368.77
  5. Step 5: Solve for x
    x = 20,441,886,368.77/94,902.75
  6. Step 6: Final answer
    x = 215,398.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.