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Finding the Third Proportional to 62,538.75 and 147,539.25

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Solution

The third proportional to 62,538.75 and 147,539.25 is: 348,069.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,538.75 : 147,539.25 = 147,539.25 : x
  2. Step 2: Convert to fraction form
    62,538.75/147,539.25 = 147,539.25/x
  3. Step 3: Cross multiply
    62,538.75x = 147,539.25 × 147,539.25
  4. Step 4: Simplify right side
    62,538.75x = 21,767,830,290.56
  5. Step 5: Solve for x
    x = 21,767,830,290.56/62,538.75
  6. Step 6: Final answer
    x = 348,069.48

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.