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Finding the Third Proportional to 72,312.75 and 156,927.38

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Solution

The third proportional to 72,312.75 and 156,927.38 is: 340,551.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,312.75 : 156,927.38 = 156,927.38 : x
  2. Step 2: Convert to fraction form
    72,312.75/156,927.38 = 156,927.38/x
  3. Step 3: Cross multiply
    72,312.75x = 156,927.38 × 156,927.38
  4. Step 4: Simplify right side
    72,312.75x = 24,626,201,024.39
  5. Step 5: Solve for x
    x = 24,626,201,024.39/72,312.75
  6. Step 6: Final answer
    x = 340,551.30

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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.