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Finding the Third Proportional to 59,111.75 and 129,707.50

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Solution

The third proportional to 59,111.75 and 129,707.50 is: 284,614.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,111.75 : 129,707.50 = 129,707.50 : x
  2. Step 2: Convert to fraction form
    59,111.75/129,707.50 = 129,707.50/x
  3. Step 3: Cross multiply
    59,111.75x = 129,707.50 × 129,707.50
  4. Step 4: Simplify right side
    59,111.75x = 16,824,035,556.25
  5. Step 5: Solve for x
    x = 16,824,035,556.25/59,111.75
  6. Step 6: Final answer
    x = 284,614.07

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.