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Finding the Third Proportional to 72,176 and 106,076

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Solution

The third proportional to 72,176 and 106,076 is: 155,898.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,176 : 106,076 = 106,076 : x
  2. Step 2: Convert to fraction form
    72,176/106,076 = 106,076/x
  3. Step 3: Cross multiply
    72,176x = 106,076 × 106,076
  4. Step 4: Simplify right side
    72,176x = 11,252,117,776
  5. Step 5: Solve for x
    x = 11,252,117,776/72,176
  6. Step 6: Final answer
    x = 155,898.33

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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.