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Finding the Third Proportional to 72,441 and 101,641.50

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Solution

The third proportional to 72,441 and 101,641.50 is: 142,612.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,441 : 101,641.50 = 101,641.50 : x
  2. Step 2: Convert to fraction form
    72,441/101,641.50 = 101,641.50/x
  3. Step 3: Cross multiply
    72,441x = 101,641.50 × 101,641.50
  4. Step 4: Simplify right side
    72,441x = 10,330,994,522.25
  5. Step 5: Solve for x
    x = 10,330,994,522.25/72,441
  6. Step 6: Final answer
    x = 142,612.53

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.