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Finding the Third Proportional to 91,712 and 186,368

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Solution

The third proportional to 91,712 and 186,368 is: 378,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,712 : 186,368 = 186,368 : x
  2. Step 2: Convert to fraction form
    91,712/186,368 = 186,368/x
  3. Step 3: Cross multiply
    91,712x = 186,368 × 186,368
  4. Step 4: Simplify right side
    91,712x = 34,733,031,424
  5. Step 5: Solve for x
    x = 34,733,031,424/91,712
  6. Step 6: Final answer
    x = 378,718.50

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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.