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Finding the Third Proportional to 112,224 and 172,484

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Solution

The third proportional to 112,224 and 172,484 is: 265,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,224 : 172,484 = 172,484 : x
  2. Step 2: Convert to fraction form
    112,224/172,484 = 172,484/x
  3. Step 3: Cross multiply
    112,224x = 172,484 × 172,484
  4. Step 4: Simplify right side
    112,224x = 29,750,730,256
  5. Step 5: Solve for x
    x = 29,750,730,256/112,224
  6. Step 6: Final answer
    x = 265,101.32

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.