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Finding the Third Proportional to 91,307 and 185,125

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Solution

The third proportional to 91,307 and 185,125 is: 375,341.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,307 : 185,125 = 185,125 : x
  2. Step 2: Convert to fraction form
    91,307/185,125 = 185,125/x
  3. Step 3: Cross multiply
    91,307x = 185,125 × 185,125
  4. Step 4: Simplify right side
    91,307x = 34,271,265,625
  5. Step 5: Solve for x
    x = 34,271,265,625/91,307
  6. Step 6: Final answer
    x = 375,341.05

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.