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Finding the Third Proportional to 26,159.06 and 57,208.50

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Solution

The third proportional to 26,159.06 and 57,208.50 is: 125,111.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,159.06 : 57,208.50 = 57,208.50 : x
  2. Step 2: Convert to fraction form
    26,159.06/57,208.50 = 57,208.50/x
  3. Step 3: Cross multiply
    26,159.06x = 57,208.50 × 57,208.50
  4. Step 4: Simplify right side
    26,159.06x = 3,272,812,472.25
  5. Step 5: Solve for x
    x = 3,272,812,472.25/26,159.06
  6. Step 6: Final answer
    x = 125,111.99

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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.