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Finding the Third Proportional to 116,746.88 and 170,956.13

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Solution

The third proportional to 116,746.88 and 170,956.13 is: 250,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,746.88 : 170,956.13 = 170,956.13 : x
  2. Step 2: Convert to fraction form
    116,746.88/170,956.13 = 170,956.13/x
  3. Step 3: Cross multiply
    116,746.88x = 170,956.13 × 170,956.13
  4. Step 4: Simplify right side
    116,746.88x = 29,225,996,675.02
  5. Step 5: Solve for x
    x = 29,225,996,675.02/116,746.88
  6. Step 6: Final answer
    x = 250,336.44

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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.