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Finding the Third Proportional to 110,705 and 176,239

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Solution

The third proportional to 110,705 and 176,239 is: 280,567.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,705 : 176,239 = 176,239 : x
  2. Step 2: Convert to fraction form
    110,705/176,239 = 176,239/x
  3. Step 3: Cross multiply
    110,705x = 176,239 × 176,239
  4. Step 4: Simplify right side
    110,705x = 31,060,185,121
  5. Step 5: Solve for x
    x = 31,060,185,121/110,705
  6. Step 6: Final answer
    x = 280,567.14

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.