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Finding the Third Proportional to 75,948 and 117,902.25

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Solution

The third proportional to 75,948 and 117,902.25 is: 183,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,948 : 117,902.25 = 117,902.25 : x
  2. Step 2: Convert to fraction form
    75,948/117,902.25 = 117,902.25/x
  3. Step 3: Cross multiply
    75,948x = 117,902.25 × 117,902.25
  4. Step 4: Simplify right side
    75,948x = 13,900,940,555.06
  5. Step 5: Solve for x
    x = 13,900,940,555.06/75,948
  6. Step 6: Final answer
    x = 183,032.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.