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Finding the Third Proportional to 72,915 and 114,232.50

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Solution

The third proportional to 72,915 and 114,232.50 is: 178,962.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,915 : 114,232.50 = 114,232.50 : x
  2. Step 2: Convert to fraction form
    72,915/114,232.50 = 114,232.50/x
  3. Step 3: Cross multiply
    72,915x = 114,232.50 × 114,232.50
  4. Step 4: Simplify right side
    72,915x = 13,049,064,056.25
  5. Step 5: Solve for x
    x = 13,049,064,056.25/72,915
  6. Step 6: Final answer
    x = 178,962.68

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.