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Finding the Third Proportional to 72,707.63 and 106,666.88

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Solution

The third proportional to 72,707.63 and 106,666.88 is: 156,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,707.63 : 106,666.88 = 106,666.88 : x
  2. Step 2: Convert to fraction form
    72,707.63/106,666.88 = 106,666.88/x
  3. Step 3: Cross multiply
    72,707.63x = 106,666.88 × 106,666.88
  4. Step 4: Simplify right side
    72,707.63x = 11,377,822,222.27
  5. Step 5: Solve for x
    x = 11,377,822,222.27/72,707.63
  6. Step 6: Final answer
    x = 156,487.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.