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Finding the Third Proportional to 72,744.75 and 112,117.50

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Solution

The third proportional to 72,744.75 and 112,117.50 is: 172,800.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,744.75 : 112,117.50 = 112,117.50 : x
  2. Step 2: Convert to fraction form
    72,744.75/112,117.50 = 112,117.50/x
  3. Step 3: Cross multiply
    72,744.75x = 112,117.50 × 112,117.50
  4. Step 4: Simplify right side
    72,744.75x = 12,570,333,806.25
  5. Step 5: Solve for x
    x = 12,570,333,806.25/72,744.75
  6. Step 6: Final answer
    x = 172,800.56

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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.