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Finding the Third Proportional to 69,539.63 and 149,710.50

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Solution

The third proportional to 69,539.63 and 149,710.50 is: 322,308.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,539.63 : 149,710.50 = 149,710.50 : x
  2. Step 2: Convert to fraction form
    69,539.63/149,710.50 = 149,710.50/x
  3. Step 3: Cross multiply
    69,539.63x = 149,710.50 × 149,710.50
  4. Step 4: Simplify right side
    69,539.63x = 22,413,233,810.25
  5. Step 5: Solve for x
    x = 22,413,233,810.25/69,539.63
  6. Step 6: Final answer
    x = 322,308.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.