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Finding the Third Proportional to 101,442 and 148,407

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Solution

The third proportional to 101,442 and 148,407 is: 217,115.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,442 : 148,407 = 148,407 : x
  2. Step 2: Convert to fraction form
    101,442/148,407 = 148,407/x
  3. Step 3: Cross multiply
    101,442x = 148,407 × 148,407
  4. Step 4: Simplify right side
    101,442x = 22,024,637,649
  5. Step 5: Solve for x
    x = 22,024,637,649/101,442
  6. Step 6: Final answer
    x = 217,115.57

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.