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Finding the Third Proportional to 91,316 and 185,140

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Solution

The third proportional to 91,316 and 185,140 is: 375,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,316 : 185,140 = 185,140 : x
  2. Step 2: Convert to fraction form
    91,316/185,140 = 185,140/x
  3. Step 3: Cross multiply
    91,316x = 185,140 × 185,140
  4. Step 4: Simplify right side
    91,316x = 34,276,819,600
  5. Step 5: Solve for x
    x = 34,276,819,600/91,316
  6. Step 6: Final answer
    x = 375,364.88

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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.