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Finding the Third Proportional to 112,344 and 175,428

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Solution

The third proportional to 112,344 and 175,428 is: 273,935.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,344 : 175,428 = 175,428 : x
  2. Step 2: Convert to fraction form
    112,344/175,428 = 175,428/x
  3. Step 3: Cross multiply
    112,344x = 175,428 × 175,428
  4. Step 4: Simplify right side
    112,344x = 30,774,983,184
  5. Step 5: Solve for x
    x = 30,774,983,184/112,344
  6. Step 6: Final answer
    x = 273,935.26

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.