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Finding the Third Proportional to 112,214 and 172,472

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Solution

The third proportional to 112,214 and 172,472 is: 265,088.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,214 : 172,472 = 172,472 : x
  2. Step 2: Convert to fraction form
    112,214/172,472 = 172,472/x
  3. Step 3: Cross multiply
    112,214x = 172,472 × 172,472
  4. Step 4: Simplify right side
    112,214x = 29,746,590,784
  5. Step 5: Solve for x
    x = 29,746,590,784/112,214
  6. Step 6: Final answer
    x = 265,088.05

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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.