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Finding the Third Proportional to 60,289.50 and 95,539.50

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Solution

The third proportional to 60,289.50 and 95,539.50 is: 151,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,289.50 : 95,539.50 = 95,539.50 : x
  2. Step 2: Convert to fraction form
    60,289.50/95,539.50 = 95,539.50/x
  3. Step 3: Cross multiply
    60,289.50x = 95,539.50 × 95,539.50
  4. Step 4: Simplify right side
    60,289.50x = 9,127,796,060.25
  5. Step 5: Solve for x
    x = 9,127,796,060.25/60,289.50
  6. Step 6: Final answer
    x = 151,399.43

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.