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Finding the Third Proportional to 75,728.25 and 118,802.25

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Solution

The third proportional to 75,728.25 and 118,802.25 is: 186,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,728.25 : 118,802.25 = 118,802.25 : x
  2. Step 2: Convert to fraction form
    75,728.25/118,802.25 = 118,802.25/x
  3. Step 3: Cross multiply
    75,728.25x = 118,802.25 × 118,802.25
  4. Step 4: Simplify right side
    75,728.25x = 14,113,974,605.06
  5. Step 5: Solve for x
    x = 14,113,974,605.06/75,728.25
  6. Step 6: Final answer
    x = 186,376.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.