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Finding the Third Proportional to 72,283.08 and 156,632.77

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Solution

The third proportional to 72,283.08 and 156,632.77 is: 339,413.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,283.08 : 156,632.77 = 156,632.77 : x
  2. Step 2: Convert to fraction form
    72,283.08/156,632.77 = 156,632.77/x
  3. Step 3: Cross multiply
    72,283.08x = 156,632.77 × 156,632.77
  4. Step 4: Simplify right side
    72,283.08x = 24,533,823,267.34
  5. Step 5: Solve for x
    x = 24,533,823,267.34/72,283.08
  6. Step 6: Final answer
    x = 339,413.10

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Why These Related Problems?

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