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Finding the Third Proportional to 72,632.32 and 156,935.40

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Solution

The third proportional to 72,632.32 and 156,935.40 is: 339,087.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,632.32 : 156,935.40 = 156,935.40 : x
  2. Step 2: Convert to fraction form
    72,632.32/156,935.40 = 156,935.40/x
  3. Step 3: Cross multiply
    72,632.32x = 156,935.40 × 156,935.40
  4. Step 4: Simplify right side
    72,632.32x = 24,628,720,968.57
  5. Step 5: Solve for x
    x = 24,628,720,968.57/72,632.32
  6. Step 6: Final answer
    x = 339,087.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.