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Finding the Third Proportional to 72,625.88 and 157,315.69

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Solution

The third proportional to 72,625.88 and 157,315.69 is: 340,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,625.88 : 157,315.69 = 157,315.69 : x
  2. Step 2: Convert to fraction form
    72,625.88/157,315.69 = 157,315.69/x
  3. Step 3: Cross multiply
    72,625.88x = 157,315.69 × 157,315.69
  4. Step 4: Simplify right side
    72,625.88x = 24,748,225,533.60
  5. Step 5: Solve for x
    x = 24,748,225,533.60/72,625.88
  6. Step 6: Final answer
    x = 340,763.20

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.