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Finding the Third Proportional to 88,032 and 190,095

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Solution

The third proportional to 88,032 and 190,095 is: 410,488.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,032 : 190,095 = 190,095 : x
  2. Step 2: Convert to fraction form
    88,032/190,095 = 190,095/x
  3. Step 3: Cross multiply
    88,032x = 190,095 × 190,095
  4. Step 4: Simplify right side
    88,032x = 36,136,109,025
  5. Step 5: Solve for x
    x = 36,136,109,025/88,032
  6. Step 6: Final answer
    x = 410,488.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.