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Finding the Third Proportional to 97,400.25 and 146,745

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Solution

The third proportional to 97,400.25 and 146,745 is: 221,088.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,400.25 : 146,745 = 146,745 : x
  2. Step 2: Convert to fraction form
    97,400.25/146,745 = 146,745/x
  3. Step 3: Cross multiply
    97,400.25x = 146,745 × 146,745
  4. Step 4: Simplify right side
    97,400.25x = 21,534,095,025
  5. Step 5: Solve for x
    x = 21,534,095,025/97,400.25
  6. Step 6: Final answer
    x = 221,088.70

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