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Finding the Third Proportional to 134,104 and 293,122

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Solution

The third proportional to 134,104 and 293,122 is: 640,700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,104 : 293,122 = 293,122 : x
  2. Step 2: Convert to fraction form
    134,104/293,122 = 293,122/x
  3. Step 3: Cross multiply
    134,104x = 293,122 × 293,122
  4. Step 4: Simplify right side
    134,104x = 85,920,506,884
  5. Step 5: Solve for x
    x = 85,920,506,884/134,104
  6. Step 6: Final answer
    x = 640,700.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.