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Finding the Third Proportional to 74,416 and 106,088

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Solution

The third proportional to 74,416 and 106,088 is: 151,239.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,416 : 106,088 = 106,088 : x
  2. Step 2: Convert to fraction form
    74,416/106,088 = 106,088/x
  3. Step 3: Cross multiply
    74,416x = 106,088 × 106,088
  4. Step 4: Simplify right side
    74,416x = 11,254,663,744
  5. Step 5: Solve for x
    x = 11,254,663,744/74,416
  6. Step 6: Final answer
    x = 151,239.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.