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Finding the Third Proportional to 69,927.75 and 153,465.19

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Solution

The third proportional to 69,927.75 and 153,465.19 is: 336,798.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,927.75 : 153,465.19 = 153,465.19 : x
  2. Step 2: Convert to fraction form
    69,927.75/153,465.19 = 153,465.19/x
  3. Step 3: Cross multiply
    69,927.75x = 153,465.19 × 153,465.19
  4. Step 4: Simplify right side
    69,927.75x = 23,551,563,774.41
  5. Step 5: Solve for x
    x = 23,551,563,774.41/69,927.75
  6. Step 6: Final answer
    x = 336,798.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.