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Finding the Third Proportional to 72,468 and 106,601.06

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Solution

The third proportional to 72,468 and 106,601.06 is: 156,811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,468 : 106,601.06 = 106,601.06 : x
  2. Step 2: Convert to fraction form
    72,468/106,601.06 = 106,601.06/x
  3. Step 3: Cross multiply
    72,468x = 106,601.06 × 106,601.06
  4. Step 4: Simplify right side
    72,468x = 11,363,786,526.13
  5. Step 5: Solve for x
    x = 11,363,786,526.13/72,468
  6. Step 6: Final answer
    x = 156,811.10

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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.