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Finding the Third Proportional to 72,967.50 and 112,686.75

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Solution

The third proportional to 72,967.50 and 112,686.75 is: 174,026.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,967.50 : 112,686.75 = 112,686.75 : x
  2. Step 2: Convert to fraction form
    72,967.50/112,686.75 = 112,686.75/x
  3. Step 3: Cross multiply
    72,967.50x = 112,686.75 × 112,686.75
  4. Step 4: Simplify right side
    72,967.50x = 12,698,303,625.56
  5. Step 5: Solve for x
    x = 12,698,303,625.56/72,967.50
  6. Step 6: Final answer
    x = 174,026.84

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.