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Finding the Third Proportional to 64,870.88 and 142,521.75

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Solution

The third proportional to 64,870.88 and 142,521.75 is: 313,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,870.88 : 142,521.75 = 142,521.75 : x
  2. Step 2: Convert to fraction form
    64,870.88/142,521.75 = 142,521.75/x
  3. Step 3: Cross multiply
    64,870.88x = 142,521.75 × 142,521.75
  4. Step 4: Simplify right side
    64,870.88x = 20,312,449,223.06
  5. Step 5: Solve for x
    x = 20,312,449,223.06/64,870.88
  6. Step 6: Final answer
    x = 313,121.25

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.