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Finding the Third Proportional to 60,393.50 and 99,815.75

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Solution

The third proportional to 60,393.50 and 99,815.75 is: 164,971.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,393.50 : 99,815.75 = 99,815.75 : x
  2. Step 2: Convert to fraction form
    60,393.50/99,815.75 = 99,815.75/x
  3. Step 3: Cross multiply
    60,393.50x = 99,815.75 × 99,815.75
  4. Step 4: Simplify right side
    60,393.50x = 9,963,183,948.06
  5. Step 5: Solve for x
    x = 9,963,183,948.06/60,393.50
  6. Step 6: Final answer
    x = 164,971.13

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.