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Finding the Third Proportional to 110,430 and 175,146

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Solution

The third proportional to 110,430 and 175,146 is: 277,787.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,430 : 175,146 = 175,146 : x
  2. Step 2: Convert to fraction form
    110,430/175,146 = 175,146/x
  3. Step 3: Cross multiply
    110,430x = 175,146 × 175,146
  4. Step 4: Simplify right side
    110,430x = 30,676,121,316
  5. Step 5: Solve for x
    x = 30,676,121,316/110,430
  6. Step 6: Final answer
    x = 277,787.93

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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.